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Finding the Fourth Proportional to 10,027.65, 13,839.18 and 5,778.87

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Solution

The fourth proportional to 10,027.65, 13,839.18 and 5,778.87 is: 7,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.65 : 13,839.18 = 5,778.87 : x
  2. Step 2: Convert to fraction form
    10,027.65/13,839.18 = 5,778.87/x
  3. Step 3: Cross multiply
    10,027.65x = 13,839.18 × 5,778.87
  4. Step 4: Simplify right side
    10,027.65x = 79,974,822.13
  5. Step 5: Solve for x
    x = 79,974,822.13/10,027.65
  6. Step 6: Final answer
    x = 7,975.43

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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.