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Finding the Fourth Proportional to 8,144.54, 12,217.46 and 2,301.20

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Solution

The fourth proportional to 8,144.54, 12,217.46 and 2,301.20 is: 3,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.54 : 12,217.46 = 2,301.20 : x
  2. Step 2: Convert to fraction form
    8,144.54/12,217.46 = 2,301.20/x
  3. Step 3: Cross multiply
    8,144.54x = 12,217.46 × 2,301.20
  4. Step 4: Simplify right side
    8,144.54x = 28,114,746.36
  5. Step 5: Solve for x
    x = 28,114,746.36/8,144.54
  6. Step 6: Final answer
    x = 3,451.98

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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.