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Finding the Fourth Proportional to 8,131.80, 12,197.70 and 2,585.10

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Solution

The fourth proportional to 8,131.80, 12,197.70 and 2,585.10 is: 3,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.80 : 12,197.70 = 2,585.10 : x
  2. Step 2: Convert to fraction form
    8,131.80/12,197.70 = 2,585.10/x
  3. Step 3: Cross multiply
    8,131.80x = 12,197.70 × 2,585.10
  4. Step 4: Simplify right side
    8,131.80x = 31,532,274.27
  5. Step 5: Solve for x
    x = 31,532,274.27/8,131.80
  6. Step 6: Final answer
    x = 3,877.65

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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.