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Finding the Fourth Proportional to 8,691.72, 13,037.58 and 2,117.91

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Solution

The fourth proportional to 8,691.72, 13,037.58 and 2,117.91 is: 3,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.72 : 13,037.58 = 2,117.91 : x
  2. Step 2: Convert to fraction form
    8,691.72/13,037.58 = 2,117.91/x
  3. Step 3: Cross multiply
    8,691.72x = 13,037.58 × 2,117.91
  4. Step 4: Simplify right side
    8,691.72x = 27,612,421.06
  5. Step 5: Solve for x
    x = 27,612,421.06/8,691.72
  6. Step 6: Final answer
    x = 3,176.87

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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.