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Finding the Fourth Proportional to 7,776,005.24, 11,664,007.85 and 7,461,077.24

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Solution

The fourth proportional to 7,776,005.24, 11,664,007.85 and 7,461,077.24 is: 11,191,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,005.24 : 11,664,007.85 = 7,461,077.24 : x
  2. Step 2: Convert to fraction form
    7,776,005.24/11,664,007.85 = 7,461,077.24/x
  3. Step 3: Cross multiply
    7,776,005.24x = 11,664,007.85 × 7,461,077.24
  4. Step 4: Simplify right side
    7,776,005.24x = 87,026,063,401,190.92
  5. Step 5: Solve for x
    x = 87,026,063,401,190.92/7,776,005.24
  6. Step 6: Final answer
    x = 11,191,615.85

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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.