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Finding the Fourth Proportional to 10,214.28, 15,375.33 and 8,710.92

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Solution

The fourth proportional to 10,214.28, 15,375.33 and 8,710.92 is: 13,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.28 : 15,375.33 = 8,710.92 : x
  2. Step 2: Convert to fraction form
    10,214.28/15,375.33 = 8,710.92/x
  3. Step 3: Cross multiply
    10,214.28x = 15,375.33 × 8,710.92
  4. Step 4: Simplify right side
    10,214.28x = 133,933,269.60
  5. Step 5: Solve for x
    x = 133,933,269.60/10,214.28
  6. Step 6: Final answer
    x = 13,112.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.