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Finding the Fourth Proportional to 7,487.40, 11,227.86 and 5,757.24

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Solution

The fourth proportional to 7,487.40, 11,227.86 and 5,757.24 is: 8,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.40 : 11,227.86 = 5,757.24 : x
  2. Step 2: Convert to fraction form
    7,487.40/11,227.86 = 5,757.24/x
  3. Step 3: Cross multiply
    7,487.40x = 11,227.86 × 5,757.24
  4. Step 4: Simplify right side
    7,487.40x = 64,641,484.71
  5. Step 5: Solve for x
    x = 64,641,484.71/7,487.40
  6. Step 6: Final answer
    x = 8,633.37

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