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Finding the Fourth Proportional to 10,265.14, 14,157.84 and 7,432.94

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Solution

The fourth proportional to 10,265.14, 14,157.84 and 7,432.94 is: 10,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.14 : 14,157.84 = 7,432.94 : x
  2. Step 2: Convert to fraction form
    10,265.14/14,157.84 = 7,432.94/x
  3. Step 3: Cross multiply
    10,265.14x = 14,157.84 × 7,432.94
  4. Step 4: Simplify right side
    10,265.14x = 105,234,375.25
  5. Step 5: Solve for x
    x = 105,234,375.25/10,265.14
  6. Step 6: Final answer
    x = 10,251.63

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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.