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Finding the Fourth Proportional to 8,034.97, 12,060.25 and 3,877.91

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Solution

The fourth proportional to 8,034.97, 12,060.25 and 3,877.91 is: 5,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.97 : 12,060.25 = 3,877.91 : x
  2. Step 2: Convert to fraction form
    8,034.97/12,060.25 = 3,877.91/x
  3. Step 3: Cross multiply
    8,034.97x = 12,060.25 × 3,877.91
  4. Step 4: Simplify right side
    8,034.97x = 46,768,484.39
  5. Step 5: Solve for x
    x = 46,768,484.39/8,034.97
  6. Step 6: Final answer
    x = 5,820.62

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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.