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Finding the Fourth Proportional to 10,600.38, 15,908.76 and 5,674.14

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Solution

The fourth proportional to 10,600.38, 15,908.76 and 5,674.14 is: 8,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.38 : 15,908.76 = 5,674.14 : x
  2. Step 2: Convert to fraction form
    10,600.38/15,908.76 = 5,674.14/x
  3. Step 3: Cross multiply
    10,600.38x = 15,908.76 × 5,674.14
  4. Step 4: Simplify right side
    10,600.38x = 90,268,531.47
  5. Step 5: Solve for x
    x = 90,268,531.47/10,600.38
  6. Step 6: Final answer
    x = 8,515.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.