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Finding the Fourth Proportional to 10,302.78, 15,454.17 and 2,511.54

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Solution

The fourth proportional to 10,302.78, 15,454.17 and 2,511.54 is: 3,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.78 : 15,454.17 = 2,511.54 : x
  2. Step 2: Convert to fraction form
    10,302.78/15,454.17 = 2,511.54/x
  3. Step 3: Cross multiply
    10,302.78x = 15,454.17 × 2,511.54
  4. Step 4: Simplify right side
    10,302.78x = 38,813,766.12
  5. Step 5: Solve for x
    x = 38,813,766.12/10,302.78
  6. Step 6: Final answer
    x = 3,767.31

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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.