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Finding the Fourth Proportional to 8,542.31, 12,813.39 and 2,698.92

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Solution

The fourth proportional to 8,542.31, 12,813.39 and 2,698.92 is: 4,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.31 : 12,813.39 = 2,698.92 : x
  2. Step 2: Convert to fraction form
    8,542.31/12,813.39 = 2,698.92/x
  3. Step 3: Cross multiply
    8,542.31x = 12,813.39 × 2,698.92
  4. Step 4: Simplify right side
    8,542.31x = 34,582,269.01
  5. Step 5: Solve for x
    x = 34,582,269.01/8,542.31
  6. Step 6: Final answer
    x = 4,048.35

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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.