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Finding the Fourth Proportional to 10,691.67, 16,038.06 and 3,301.20

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Solution

The fourth proportional to 10,691.67, 16,038.06 and 3,301.20 is: 4,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.67 : 16,038.06 = 3,301.20 : x
  2. Step 2: Convert to fraction form
    10,691.67/16,038.06 = 3,301.20/x
  3. Step 3: Cross multiply
    10,691.67x = 16,038.06 × 3,301.20
  4. Step 4: Simplify right side
    10,691.67x = 52,944,843.67
  5. Step 5: Solve for x
    x = 52,944,843.67/10,691.67
  6. Step 6: Final answer
    x = 4,951.97

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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.