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Finding the Fourth Proportional to 27,982.38, 41,978.13 and 8,262.93

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Solution

The fourth proportional to 27,982.38, 41,978.13 and 8,262.93 is: 12,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.38 : 41,978.13 = 8,262.93 : x
  2. Step 2: Convert to fraction form
    27,982.38/41,978.13 = 8,262.93/x
  3. Step 3: Cross multiply
    27,982.38x = 41,978.13 × 8,262.93
  4. Step 4: Simplify right side
    27,982.38x = 346,862,349.72
  5. Step 5: Solve for x
    x = 346,862,349.72/27,982.38
  6. Step 6: Final answer
    x = 12,395.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.