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Finding the Fourth Proportional to 8,523.40, 12,785.10 and 2,681.80

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Solution

The fourth proportional to 8,523.40, 12,785.10 and 2,681.80 is: 4,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.40 : 12,785.10 = 2,681.80 : x
  2. Step 2: Convert to fraction form
    8,523.40/12,785.10 = 2,681.80/x
  3. Step 3: Cross multiply
    8,523.40x = 12,785.10 × 2,681.80
  4. Step 4: Simplify right side
    8,523.40x = 34,287,081.18
  5. Step 5: Solve for x
    x = 34,287,081.18/8,523.40
  6. Step 6: Final answer
    x = 4,022.70

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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.