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Finding the Fourth Proportional to 8,301.78, 12,452.76 and 2,378.66

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Solution

The fourth proportional to 8,301.78, 12,452.76 and 2,378.66 is: 3,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.78 : 12,452.76 = 2,378.66 : x
  2. Step 2: Convert to fraction form
    8,301.78/12,452.76 = 2,378.66/x
  3. Step 3: Cross multiply
    8,301.78x = 12,452.76 × 2,378.66
  4. Step 4: Simplify right side
    8,301.78x = 29,620,819.84
  5. Step 5: Solve for x
    x = 29,620,819.84/8,301.78
  6. Step 6: Final answer
    x = 3,568.01

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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.