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Finding the Fourth Proportional to 7,782,904.60, 11,674,356.90 and 7,342,005.40

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Solution

The fourth proportional to 7,782,904.60, 11,674,356.90 and 7,342,005.40 is: 11,013,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,904.60 : 11,674,356.90 = 7,342,005.40 : x
  2. Step 2: Convert to fraction form
    7,782,904.60/11,674,356.90 = 7,342,005.40/x
  3. Step 3: Cross multiply
    7,782,904.60x = 11,674,356.90 × 7,342,005.40
  4. Step 4: Simplify right side
    7,782,904.60x = 85,713,191,401,327.27
  5. Step 5: Solve for x
    x = 85,713,191,401,327.27/7,782,904.60
  6. Step 6: Final answer
    x = 11,013,008.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.