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Finding the Fourth Proportional to 10,040.73, 13,843.89 and 8,146.95

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Solution

The fourth proportional to 10,040.73, 13,843.89 and 8,146.95 is: 11,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.73 : 13,843.89 = 8,146.95 : x
  2. Step 2: Convert to fraction form
    10,040.73/13,843.89 = 8,146.95/x
  3. Step 3: Cross multiply
    10,040.73x = 13,843.89 × 8,146.95
  4. Step 4: Simplify right side
    10,040.73x = 112,785,479.64
  5. Step 5: Solve for x
    x = 112,785,479.64/10,040.73
  6. Step 6: Final answer
    x = 11,232.80

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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.