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Finding the Fourth Proportional to 8,542.26, 12,813.54 and 2,698.82

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Solution

The fourth proportional to 8,542.26, 12,813.54 and 2,698.82 is: 4,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.26 : 12,813.54 = 2,698.82 : x
  2. Step 2: Convert to fraction form
    8,542.26/12,813.54 = 2,698.82/x
  3. Step 3: Cross multiply
    8,542.26x = 12,813.54 × 2,698.82
  4. Step 4: Simplify right side
    8,542.26x = 34,581,360.46
  5. Step 5: Solve for x
    x = 34,581,360.46/8,542.26
  6. Step 6: Final answer
    x = 4,048.27

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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.