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Finding the Fourth Proportional to 8,144.68, 12,206.04 and 4,241.20

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Solution

The fourth proportional to 8,144.68, 12,206.04 and 4,241.20 is: 6,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.68 : 12,206.04 = 4,241.20 : x
  2. Step 2: Convert to fraction form
    8,144.68/12,206.04 = 4,241.20/x
  3. Step 3: Cross multiply
    8,144.68x = 12,206.04 × 4,241.20
  4. Step 4: Simplify right side
    8,144.68x = 51,768,256.85
  5. Step 5: Solve for x
    x = 51,768,256.85/8,144.68
  6. Step 6: Final answer
    x = 6,356.08

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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.