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Finding the Fourth Proportional to 8,256.81, 12,380.60 and 2,708.67

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Solution

The fourth proportional to 8,256.81, 12,380.60 and 2,708.67 is: 4,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.81 : 12,380.60 = 2,708.67 : x
  2. Step 2: Convert to fraction form
    8,256.81/12,380.60 = 2,708.67/x
  3. Step 3: Cross multiply
    8,256.81x = 12,380.60 × 2,708.67
  4. Step 4: Simplify right side
    8,256.81x = 33,534,959.80
  5. Step 5: Solve for x
    x = 33,534,959.80/8,256.81
  6. Step 6: Final answer
    x = 4,061.49

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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.