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Finding the Fourth Proportional to 8,132.98, 12,194.34 and 2,865.10

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Solution

The fourth proportional to 8,132.98, 12,194.34 and 2,865.10 is: 4,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.98 : 12,194.34 = 2,865.10 : x
  2. Step 2: Convert to fraction form
    8,132.98/12,194.34 = 2,865.10/x
  3. Step 3: Cross multiply
    8,132.98x = 12,194.34 × 2,865.10
  4. Step 4: Simplify right side
    8,132.98x = 34,938,003.53
  5. Step 5: Solve for x
    x = 34,938,003.53/8,132.98
  6. Step 6: Final answer
    x = 4,295.84

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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.