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Finding the Fourth Proportional to 10,468.01, 15,677.39 and 8,261.97

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Solution

The fourth proportional to 10,468.01, 15,677.39 and 8,261.97 is: 12,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.01 : 15,677.39 = 8,261.97 : x
  2. Step 2: Convert to fraction form
    10,468.01/15,677.39 = 8,261.97/x
  3. Step 3: Cross multiply
    10,468.01x = 15,677.39 × 8,261.97
  4. Step 4: Simplify right side
    10,468.01x = 129,526,084.55
  5. Step 5: Solve for x
    x = 129,526,084.55/10,468.01
  6. Step 6: Final answer
    x = 12,373.52

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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.