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Finding the Fourth Proportional to 8,065.80, 12,092.98 and 3,131.28

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Solution

The fourth proportional to 8,065.80, 12,092.98 and 3,131.28 is: 4,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.80 : 12,092.98 = 3,131.28 : x
  2. Step 2: Convert to fraction form
    8,065.80/12,092.98 = 3,131.28/x
  3. Step 3: Cross multiply
    8,065.80x = 12,092.98 × 3,131.28
  4. Step 4: Simplify right side
    8,065.80x = 37,866,506.41
  5. Step 5: Solve for x
    x = 37,866,506.41/8,065.80
  6. Step 6: Final answer
    x = 4,694.70

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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.