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Finding the Fourth Proportional to 8,284.26, 12,422.74 and 4,387.76

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Solution

The fourth proportional to 8,284.26, 12,422.74 and 4,387.76 is: 6,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.26 : 12,422.74 = 4,387.76 : x
  2. Step 2: Convert to fraction form
    8,284.26/12,422.74 = 4,387.76/x
  3. Step 3: Cross multiply
    8,284.26x = 12,422.74 × 4,387.76
  4. Step 4: Simplify right side
    8,284.26x = 54,508,001.66
  5. Step 5: Solve for x
    x = 54,508,001.66/8,284.26
  6. Step 6: Final answer
    x = 6,579.71

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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.