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Finding the Fourth Proportional to 10,432.40, 14,399.72 and 6,243.12

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Solution

The fourth proportional to 10,432.40, 14,399.72 and 6,243.12 is: 8,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.40 : 14,399.72 = 6,243.12 : x
  2. Step 2: Convert to fraction form
    10,432.40/14,399.72 = 6,243.12/x
  3. Step 3: Cross multiply
    10,432.40x = 14,399.72 × 6,243.12
  4. Step 4: Simplify right side
    10,432.40x = 89,899,179.93
  5. Step 5: Solve for x
    x = 89,899,179.93/10,432.40
  6. Step 6: Final answer
    x = 8,617.31

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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.