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Finding the Fourth Proportional to 12,872.73, 17,762.70 and 7,565.61

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Solution

The fourth proportional to 12,872.73, 17,762.70 and 7,565.61 is: 10,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.73 : 17,762.70 = 7,565.61 : x
  2. Step 2: Convert to fraction form
    12,872.73/17,762.70 = 7,565.61/x
  3. Step 3: Cross multiply
    12,872.73x = 17,762.70 × 7,565.61
  4. Step 4: Simplify right side
    12,872.73x = 134,385,660.75
  5. Step 5: Solve for x
    x = 134,385,660.75/12,872.73
  6. Step 6: Final answer
    x = 10,439.56

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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.