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Finding the Fourth Proportional to 10,930.73, 15,083.97 and 6,455.91

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Solution

The fourth proportional to 10,930.73, 15,083.97 and 6,455.91 is: 8,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.73 : 15,083.97 = 6,455.91 : x
  2. Step 2: Convert to fraction form
    10,930.73/15,083.97 = 6,455.91/x
  3. Step 3: Cross multiply
    10,930.73x = 15,083.97 × 6,455.91
  4. Step 4: Simplify right side
    10,930.73x = 97,380,785.12
  5. Step 5: Solve for x
    x = 97,380,785.12/10,930.73
  6. Step 6: Final answer
    x = 8,908.90

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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.