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Finding the Fourth Proportional to 10,151.46, 15,229.62 and 5,141.34

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Solution

The fourth proportional to 10,151.46, 15,229.62 and 5,141.34 is: 7,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.46 : 15,229.62 = 5,141.34 : x
  2. Step 2: Convert to fraction form
    10,151.46/15,229.62 = 5,141.34/x
  3. Step 3: Cross multiply
    10,151.46x = 15,229.62 × 5,141.34
  4. Step 4: Simplify right side
    10,151.46x = 78,300,654.49
  5. Step 5: Solve for x
    x = 78,300,654.49/10,151.46
  6. Step 6: Final answer
    x = 7,713.24

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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.