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Finding the Fourth Proportional to 12,778.25, 17,631.33 and 7,472.04

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Solution

The fourth proportional to 12,778.25, 17,631.33 and 7,472.04 is: 10,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.25 : 17,631.33 = 7,472.04 : x
  2. Step 2: Convert to fraction form
    12,778.25/17,631.33 = 7,472.04/x
  3. Step 3: Cross multiply
    12,778.25x = 17,631.33 × 7,472.04
  4. Step 4: Simplify right side
    12,778.25x = 131,742,003.01
  5. Step 5: Solve for x
    x = 131,742,003.01/12,778.25
  6. Step 6: Final answer
    x = 10,309.86

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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.