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Finding the Fourth Proportional to 10,065.83, 13,891.20 and 5,589.65

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Solution

The fourth proportional to 10,065.83, 13,891.20 and 5,589.65 is: 7,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.83 : 13,891.20 = 5,589.65 : x
  2. Step 2: Convert to fraction form
    10,065.83/13,891.20 = 5,589.65/x
  3. Step 3: Cross multiply
    10,065.83x = 13,891.20 × 5,589.65
  4. Step 4: Simplify right side
    10,065.83x = 77,646,959.85
  5. Step 5: Solve for x
    x = 77,646,959.85/10,065.83
  6. Step 6: Final answer
    x = 7,713.92

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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.