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Finding the Fourth Proportional to 8,117.61, 12,151.76 and 5,197.97

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Solution

The fourth proportional to 8,117.61, 12,151.76 and 5,197.97 is: 7,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.61 : 12,151.76 = 5,197.97 : x
  2. Step 2: Convert to fraction form
    8,117.61/12,151.76 = 5,197.97/x
  3. Step 3: Cross multiply
    8,117.61x = 12,151.76 × 5,197.97
  4. Step 4: Simplify right side
    8,117.61x = 63,164,397.18
  5. Step 5: Solve for x
    x = 63,164,397.18/8,117.61
  6. Step 6: Final answer
    x = 7,781.16

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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.