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Finding the Fourth Proportional to 8,077.83, 12,121.44 and 3,397.50

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Solution

The fourth proportional to 8,077.83, 12,121.44 and 3,397.50 is: 5,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.83 : 12,121.44 = 3,397.50 : x
  2. Step 2: Convert to fraction form
    8,077.83/12,121.44 = 3,397.50/x
  3. Step 3: Cross multiply
    8,077.83x = 12,121.44 × 3,397.50
  4. Step 4: Simplify right side
    8,077.83x = 41,182,592.40
  5. Step 5: Solve for x
    x = 41,182,592.40/8,077.83
  6. Step 6: Final answer
    x = 5,098.22

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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.