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Finding the Fourth Proportional to 10,507.88, 15,759.99 and 3,843

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Solution

The fourth proportional to 10,507.88, 15,759.99 and 3,843 is: 5,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.88 : 15,759.99 = 3,843 : x
  2. Step 2: Convert to fraction form
    10,507.88/15,759.99 = 3,843/x
  3. Step 3: Cross multiply
    10,507.88x = 15,759.99 × 3,843
  4. Step 4: Simplify right side
    10,507.88x = 60,565,641.57
  5. Step 5: Solve for x
    x = 60,565,641.57/10,507.88
  6. Step 6: Final answer
    x = 5,763.83

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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.