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Finding the Fourth Proportional to 8,378.13, 12,567.17 and 2,534.73

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Solution

The fourth proportional to 8,378.13, 12,567.17 and 2,534.73 is: 3,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.13 : 12,567.17 = 2,534.73 : x
  2. Step 2: Convert to fraction form
    8,378.13/12,567.17 = 2,534.73/x
  3. Step 3: Cross multiply
    8,378.13x = 12,567.17 × 2,534.73
  4. Step 4: Simplify right side
    8,378.13x = 31,854,370.14
  5. Step 5: Solve for x
    x = 31,854,370.14/8,378.13
  6. Step 6: Final answer
    x = 3,802.09

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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.