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Finding the Fourth Proportional to 8,663.74, 12,984.84 and 3,978.78

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Solution

The fourth proportional to 8,663.74, 12,984.84 and 3,978.78 is: 5,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.74 : 12,984.84 = 3,978.78 : x
  2. Step 2: Convert to fraction form
    8,663.74/12,984.84 = 3,978.78/x
  3. Step 3: Cross multiply
    8,663.74x = 12,984.84 × 3,978.78
  4. Step 4: Simplify right side
    8,663.74x = 51,663,736.88
  5. Step 5: Solve for x
    x = 51,663,736.88/8,663.74
  6. Step 6: Final answer
    x = 5,963.22

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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.