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Finding the Fourth Proportional to 10,102.14, 15,160.13 and 3,528.32

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Solution

The fourth proportional to 10,102.14, 15,160.13 and 3,528.32 is: 5,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.14 : 15,160.13 = 3,528.32 : x
  2. Step 2: Convert to fraction form
    10,102.14/15,160.13 = 3,528.32/x
  3. Step 3: Cross multiply
    10,102.14x = 15,160.13 × 3,528.32
  4. Step 4: Simplify right side
    10,102.14x = 53,489,789.88
  5. Step 5: Solve for x
    x = 53,489,789.88/10,102.14
  6. Step 6: Final answer
    x = 5,294.90

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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.