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Finding the Fourth Proportional to 10,065.62, 13,890.99 and 5,589.37

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Solution

The fourth proportional to 10,065.62, 13,890.99 and 5,589.37 is: 7,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.62 : 13,890.99 = 5,589.37 : x
  2. Step 2: Convert to fraction form
    10,065.62/13,890.99 = 5,589.37/x
  3. Step 3: Cross multiply
    10,065.62x = 13,890.99 × 5,589.37
  4. Step 4: Simplify right side
    10,065.62x = 77,641,921.10
  5. Step 5: Solve for x
    x = 77,641,921.10/10,065.62
  6. Step 6: Final answer
    x = 7,713.58

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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.