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Finding the Fourth Proportional to 8,099.60, 12,140.37 and 3,418.21

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Solution

The fourth proportional to 8,099.60, 12,140.37 and 3,418.21 is: 5,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.60 : 12,140.37 = 3,418.21 : x
  2. Step 2: Convert to fraction form
    8,099.60/12,140.37 = 3,418.21/x
  3. Step 3: Cross multiply
    8,099.60x = 12,140.37 × 3,418.21
  4. Step 4: Simplify right side
    8,099.60x = 41,498,303.79
  5. Step 5: Solve for x
    x = 41,498,303.79/8,099.60
  6. Step 6: Final answer
    x = 5,123.50

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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.