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Finding the Fourth Proportional to 10,102.68, 15,142.14 and 4,255.56

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Solution

The fourth proportional to 10,102.68, 15,142.14 and 4,255.56 is: 6,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.68 : 15,142.14 = 4,255.56 : x
  2. Step 2: Convert to fraction form
    10,102.68/15,142.14 = 4,255.56/x
  3. Step 3: Cross multiply
    10,102.68x = 15,142.14 × 4,255.56
  4. Step 4: Simplify right side
    10,102.68x = 64,438,285.30
  5. Step 5: Solve for x
    x = 64,438,285.30/10,102.68
  6. Step 6: Final answer
    x = 6,378.34

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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.