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Finding the Fourth Proportional to 10,102.08, 15,171.96 and 8,257.11

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Solution

The fourth proportional to 10,102.08, 15,171.96 and 8,257.11 is: 12,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.08 : 15,171.96 = 8,257.11 : x
  2. Step 2: Convert to fraction form
    10,102.08/15,171.96 = 8,257.11/x
  3. Step 3: Cross multiply
    10,102.08x = 15,171.96 × 8,257.11
  4. Step 4: Simplify right side
    10,102.08x = 125,276,542.64
  5. Step 5: Solve for x
    x = 125,276,542.64/10,102.08
  6. Step 6: Final answer
    x = 12,401.06

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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.