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Finding the Fourth Proportional to 10,487.68, 14,472.88 and 5,771.86

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Solution

The fourth proportional to 10,487.68, 14,472.88 and 5,771.86 is: 7,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.68 : 14,472.88 = 5,771.86 : x
  2. Step 2: Convert to fraction form
    10,487.68/14,472.88 = 5,771.86/x
  3. Step 3: Cross multiply
    10,487.68x = 14,472.88 × 5,771.86
  4. Step 4: Simplify right side
    10,487.68x = 83,535,386.54
  5. Step 5: Solve for x
    x = 83,535,386.54/10,487.68
  6. Step 6: Final answer
    x = 7,965.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.