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Finding the Fourth Proportional to 10,930.78, 15,083.70 and 6,454.30

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Solution

The fourth proportional to 10,930.78, 15,083.70 and 6,454.30 is: 8,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.78 : 15,083.70 = 6,454.30 : x
  2. Step 2: Convert to fraction form
    10,930.78/15,083.70 = 6,454.30/x
  3. Step 3: Cross multiply
    10,930.78x = 15,083.70 × 6,454.30
  4. Step 4: Simplify right side
    10,930.78x = 97,354,724.91
  5. Step 5: Solve for x
    x = 97,354,724.91/10,930.78
  6. Step 6: Final answer
    x = 8,906.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.