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Finding the Fourth Proportional to 12,535.73, 17,294.19 and 7,752.27

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Solution

The fourth proportional to 12,535.73, 17,294.19 and 7,752.27 is: 10,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.73 : 17,294.19 = 7,752.27 : x
  2. Step 2: Convert to fraction form
    12,535.73/17,294.19 = 7,752.27/x
  3. Step 3: Cross multiply
    12,535.73x = 17,294.19 × 7,752.27
  4. Step 4: Simplify right side
    12,535.73x = 134,069,230.31
  5. Step 5: Solve for x
    x = 134,069,230.31/12,535.73
  6. Step 6: Final answer
    x = 10,694.97

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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.