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Finding the Fourth Proportional to 8,048.25, 12,073.41 and 2,854.17

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Solution

The fourth proportional to 8,048.25, 12,073.41 and 2,854.17 is: 4,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.25 : 12,073.41 = 2,854.17 : x
  2. Step 2: Convert to fraction form
    8,048.25/12,073.41 = 2,854.17/x
  3. Step 3: Cross multiply
    8,048.25x = 12,073.41 × 2,854.17
  4. Step 4: Simplify right side
    8,048.25x = 34,459,564.62
  5. Step 5: Solve for x
    x = 34,459,564.62/8,048.25
  6. Step 6: Final answer
    x = 4,281.62

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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.