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Finding the Fourth Proportional to 7,403.74, 11,122.85 and 7,005.49

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Solution

The fourth proportional to 7,403.74, 11,122.85 and 7,005.49 is: 10,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.74 : 11,122.85 = 7,005.49 : x
  2. Step 2: Convert to fraction form
    7,403.74/11,122.85 = 7,005.49/x
  3. Step 3: Cross multiply
    7,403.74x = 11,122.85 × 7,005.49
  4. Step 4: Simplify right side
    7,403.74x = 77,921,004.15
  5. Step 5: Solve for x
    x = 77,921,004.15/7,403.74
  6. Step 6: Final answer
    x = 10,524.55

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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.