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Finding the Fourth Proportional to 8,691.56, 13,037.25 and 2,117.78

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Solution

The fourth proportional to 8,691.56, 13,037.25 and 2,117.78 is: 3,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.56 : 13,037.25 = 2,117.78 : x
  2. Step 2: Convert to fraction form
    8,691.56/13,037.25 = 2,117.78/x
  3. Step 3: Cross multiply
    8,691.56x = 13,037.25 × 2,117.78
  4. Step 4: Simplify right side
    8,691.56x = 27,610,027.31
  5. Step 5: Solve for x
    x = 27,610,027.31/8,691.56
  6. Step 6: Final answer
    x = 3,176.65

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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.