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Finding the Fourth Proportional to 8,657.44, 12,984.24 and 3,461.92

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Solution

The fourth proportional to 8,657.44, 12,984.24 and 3,461.92 is: 5,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.44 : 12,984.24 = 3,461.92 : x
  2. Step 2: Convert to fraction form
    8,657.44/12,984.24 = 3,461.92/x
  3. Step 3: Cross multiply
    8,657.44x = 12,984.24 × 3,461.92
  4. Step 4: Simplify right side
    8,657.44x = 44,950,400.14
  5. Step 5: Solve for x
    x = 44,950,400.14/8,657.44
  6. Step 6: Final answer
    x = 5,192.11

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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.