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Finding the Fourth Proportional to 8,301.92, 12,453.20 and 2,755.76

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Solution

The fourth proportional to 8,301.92, 12,453.20 and 2,755.76 is: 4,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.92 : 12,453.20 = 2,755.76 : x
  2. Step 2: Convert to fraction form
    8,301.92/12,453.20 = 2,755.76/x
  3. Step 3: Cross multiply
    8,301.92x = 12,453.20 × 2,755.76
  4. Step 4: Simplify right side
    8,301.92x = 34,317,975.06
  5. Step 5: Solve for x
    x = 34,317,975.06/8,301.92
  6. Step 6: Final answer
    x = 4,133.74

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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.