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Finding the Fourth Proportional to 10,121.78, 15,187.05 and 5,436.32

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Solution

The fourth proportional to 10,121.78, 15,187.05 and 5,436.32 is: 8,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.78 : 15,187.05 = 5,436.32 : x
  2. Step 2: Convert to fraction form
    10,121.78/15,187.05 = 5,436.32/x
  3. Step 3: Cross multiply
    10,121.78x = 15,187.05 × 5,436.32
  4. Step 4: Simplify right side
    10,121.78x = 82,561,587.72
  5. Step 5: Solve for x
    x = 82,561,587.72/10,121.78
  6. Step 6: Final answer
    x = 8,156.83

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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.