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Finding the Fourth Proportional to 8,295.18, 11,446.49 and 5,107.97

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Solution

The fourth proportional to 8,295.18, 11,446.49 and 5,107.97 is: 7,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.18 : 11,446.49 = 5,107.97 : x
  2. Step 2: Convert to fraction form
    8,295.18/11,446.49 = 5,107.97/x
  3. Step 3: Cross multiply
    8,295.18x = 11,446.49 × 5,107.97
  4. Step 4: Simplify right side
    8,295.18x = 58,468,327.53
  5. Step 5: Solve for x
    x = 58,468,327.53/8,295.18
  6. Step 6: Final answer
    x = 7,048.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.