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Finding the Fourth Proportional to 8,284.31, 12,434.25 and 4,338.40

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Solution

The fourth proportional to 8,284.31, 12,434.25 and 4,338.40 is: 6,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.31 : 12,434.25 = 4,338.40 : x
  2. Step 2: Convert to fraction form
    8,284.31/12,434.25 = 4,338.40/x
  3. Step 3: Cross multiply
    8,284.31x = 12,434.25 × 4,338.40
  4. Step 4: Simplify right side
    8,284.31x = 53,944,761.05
  5. Step 5: Solve for x
    x = 53,944,761.05/8,284.31
  6. Step 6: Final answer
    x = 6,511.68

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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.