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Finding the Fourth Proportional to 11,687.73, 16,142.18 and 7,726.83

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Solution

The fourth proportional to 11,687.73, 16,142.18 and 7,726.83 is: 10,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.73 : 16,142.18 = 7,726.83 : x
  2. Step 2: Convert to fraction form
    11,687.73/16,142.18 = 7,726.83/x
  3. Step 3: Cross multiply
    11,687.73x = 16,142.18 × 7,726.83
  4. Step 4: Simplify right side
    11,687.73x = 124,727,880.69
  5. Step 5: Solve for x
    x = 124,727,880.69/11,687.73
  6. Step 6: Final answer
    x = 10,671.69

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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.