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Finding the Fourth Proportional to 8,523.33, 12,785.71 and 2,681.61

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Solution

The fourth proportional to 8,523.33, 12,785.71 and 2,681.61 is: 4,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.33 : 12,785.71 = 2,681.61 : x
  2. Step 2: Convert to fraction form
    8,523.33/12,785.71 = 2,681.61/x
  3. Step 3: Cross multiply
    8,523.33x = 12,785.71 × 2,681.61
  4. Step 4: Simplify right side
    8,523.33x = 34,286,287.79
  5. Step 5: Solve for x
    x = 34,286,287.79/8,523.33
  6. Step 6: Final answer
    x = 4,022.64

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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.