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Finding the Fourth Proportional to 10,065.25, 13,890.05 and 5,589.73

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Solution

The fourth proportional to 10,065.25, 13,890.05 and 5,589.73 is: 7,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.25 : 13,890.05 = 5,589.73 : x
  2. Step 2: Convert to fraction form
    10,065.25/13,890.05 = 5,589.73/x
  3. Step 3: Cross multiply
    10,065.25x = 13,890.05 × 5,589.73
  4. Step 4: Simplify right side
    10,065.25x = 77,641,629.19
  5. Step 5: Solve for x
    x = 77,641,629.19/10,065.25
  6. Step 6: Final answer
    x = 7,713.83

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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.