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Finding the Fourth Proportional to 27,658.56, 41,487.39 and 6,882.06

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Solution

The fourth proportional to 27,658.56, 41,487.39 and 6,882.06 is: 10,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.56 : 41,487.39 = 6,882.06 : x
  2. Step 2: Convert to fraction form
    27,658.56/41,487.39 = 6,882.06/x
  3. Step 3: Cross multiply
    27,658.56x = 41,487.39 × 6,882.06
  4. Step 4: Simplify right side
    27,658.56x = 285,518,862.80
  5. Step 5: Solve for x
    x = 285,518,862.80/27,658.56
  6. Step 6: Final answer
    x = 10,322.98

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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.