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Finding the Fourth Proportional to 10,432.98, 14,397.29 and 7,453.87

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Solution

The fourth proportional to 10,432.98, 14,397.29 and 7,453.87 is: 10,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.98 : 14,397.29 = 7,453.87 : x
  2. Step 2: Convert to fraction form
    10,432.98/14,397.29 = 7,453.87/x
  3. Step 3: Cross multiply
    10,432.98x = 14,397.29 × 7,453.87
  4. Step 4: Simplify right side
    10,432.98x = 107,315,605.61
  5. Step 5: Solve for x
    x = 107,315,605.61/10,432.98
  6. Step 6: Final answer
    x = 10,286.19

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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.