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Finding the Fourth Proportional to 10,772.26, 16,141.86 and 7,249.23

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Solution

The fourth proportional to 10,772.26, 16,141.86 and 7,249.23 is: 10,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.26 : 16,141.86 = 7,249.23 : x
  2. Step 2: Convert to fraction form
    10,772.26/16,141.86 = 7,249.23/x
  3. Step 3: Cross multiply
    10,772.26x = 16,141.86 × 7,249.23
  4. Step 4: Simplify right side
    10,772.26x = 117,016,055.77
  5. Step 5: Solve for x
    x = 117,016,055.77/10,772.26
  6. Step 6: Final answer
    x = 10,862.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.