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Finding the Fourth Proportional to 8,138.48, 12,207.76 and 2,295.60

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Solution

The fourth proportional to 8,138.48, 12,207.76 and 2,295.60 is: 3,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.48 : 12,207.76 = 2,295.60 : x
  2. Step 2: Convert to fraction form
    8,138.48/12,207.76 = 2,295.60/x
  3. Step 3: Cross multiply
    8,138.48x = 12,207.76 × 2,295.60
  4. Step 4: Simplify right side
    8,138.48x = 28,024,133.86
  5. Step 5: Solve for x
    x = 28,024,133.86/8,138.48
  6. Step 6: Final answer
    x = 3,443.41

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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.