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Finding the Fourth Proportional to 8,711.47, 12,017.91 and 5,877.91

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Solution

The fourth proportional to 8,711.47, 12,017.91 and 5,877.91 is: 8,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.47 : 12,017.91 = 5,877.91 : x
  2. Step 2: Convert to fraction form
    8,711.47/12,017.91 = 5,877.91/x
  3. Step 3: Cross multiply
    8,711.47x = 12,017.91 × 5,877.91
  4. Step 4: Simplify right side
    8,711.47x = 70,640,193.37
  5. Step 5: Solve for x
    x = 70,640,193.37/8,711.47
  6. Step 6: Final answer
    x = 8,108.87

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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.