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Finding the Fourth Proportional to 10,487.47, 14,472.75 and 6,011.32

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Solution

The fourth proportional to 10,487.47, 14,472.75 and 6,011.32 is: 8,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.47 : 14,472.75 = 6,011.32 : x
  2. Step 2: Convert to fraction form
    10,487.47/14,472.75 = 6,011.32/x
  3. Step 3: Cross multiply
    10,487.47x = 14,472.75 × 6,011.32
  4. Step 4: Simplify right side
    10,487.47x = 87,000,331.53
  5. Step 5: Solve for x
    x = 87,000,331.53/10,487.47
  6. Step 6: Final answer
    x = 8,295.65

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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.