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Finding the Fourth Proportional to 8,137.42, 12,209.34 and 3,458.44

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Solution

The fourth proportional to 8,137.42, 12,209.34 and 3,458.44 is: 5,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.42 : 12,209.34 = 3,458.44 : x
  2. Step 2: Convert to fraction form
    8,137.42/12,209.34 = 3,458.44/x
  3. Step 3: Cross multiply
    8,137.42x = 12,209.34 × 3,458.44
  4. Step 4: Simplify right side
    8,137.42x = 42,225,269.83
  5. Step 5: Solve for x
    x = 42,225,269.83/8,137.42
  6. Step 6: Final answer
    x = 5,189.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.