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Finding the Fourth Proportional to 8,079.08, 12,116.22 and 3,461

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Solution

The fourth proportional to 8,079.08, 12,116.22 and 3,461 is: 5,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,079.08 : 12,116.22 = 3,461 : x
  2. Step 2: Convert to fraction form
    8,079.08/12,116.22 = 3,461/x
  3. Step 3: Cross multiply
    8,079.08x = 12,116.22 × 3,461
  4. Step 4: Simplify right side
    8,079.08x = 41,934,237.42
  5. Step 5: Solve for x
    x = 41,934,237.42/8,079.08
  6. Step 6: Final answer
    x = 5,190.47

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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.