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Finding the Fourth Proportional to 7,832.97, 11,726.37 and 6,860.97

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Solution

The fourth proportional to 7,832.97, 11,726.37 and 6,860.97 is: 10,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.97 : 11,726.37 = 6,860.97 : x
  2. Step 2: Convert to fraction form
    7,832.97/11,726.37 = 6,860.97/x
  3. Step 3: Cross multiply
    7,832.97x = 11,726.37 × 6,860.97
  4. Step 4: Simplify right side
    7,832.97x = 80,454,272.78
  5. Step 5: Solve for x
    x = 80,454,272.78/7,832.97
  6. Step 6: Final answer
    x = 10,271.23

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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.