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Finding the Fourth Proportional to 10,065.75, 13,891.12 and 5,589.84

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Solution

The fourth proportional to 10,065.75, 13,891.12 and 5,589.84 is: 7,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.75 : 13,891.12 = 5,589.84 : x
  2. Step 2: Convert to fraction form
    10,065.75/13,891.12 = 5,589.84/x
  3. Step 3: Cross multiply
    10,065.75x = 13,891.12 × 5,589.84
  4. Step 4: Simplify right side
    10,065.75x = 77,649,092.54
  5. Step 5: Solve for x
    x = 77,649,092.54/10,065.75
  6. Step 6: Final answer
    x = 7,714.19

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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.