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Finding the Fourth Proportional to 10,454.82, 15,672.33 and 3,876.54

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Solution

The fourth proportional to 10,454.82, 15,672.33 and 3,876.54 is: 5,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.82 : 15,672.33 = 3,876.54 : x
  2. Step 2: Convert to fraction form
    10,454.82/15,672.33 = 3,876.54/x
  3. Step 3: Cross multiply
    10,454.82x = 15,672.33 × 3,876.54
  4. Step 4: Simplify right side
    10,454.82x = 60,754,414.14
  5. Step 5: Solve for x
    x = 60,754,414.14/10,454.82
  6. Step 6: Final answer
    x = 5,811.14

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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.