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Finding the Fourth Proportional to 10,049.77, 15,077.18 and 5,893.25

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Solution

The fourth proportional to 10,049.77, 15,077.18 and 5,893.25 is: 8,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.77 : 15,077.18 = 5,893.25 : x
  2. Step 2: Convert to fraction form
    10,049.77/15,077.18 = 5,893.25/x
  3. Step 3: Cross multiply
    10,049.77x = 15,077.18 × 5,893.25
  4. Step 4: Simplify right side
    10,049.77x = 88,853,591.04
  5. Step 5: Solve for x
    x = 88,853,591.04/10,049.77
  6. Step 6: Final answer
    x = 8,841.36

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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.