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Finding the Fourth Proportional to 8,288.56, 12,433.24 and 2,445.76

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Solution

The fourth proportional to 8,288.56, 12,433.24 and 2,445.76 is: 3,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.56 : 12,433.24 = 2,445.76 : x
  2. Step 2: Convert to fraction form
    8,288.56/12,433.24 = 2,445.76/x
  3. Step 3: Cross multiply
    8,288.56x = 12,433.24 × 2,445.76
  4. Step 4: Simplify right side
    8,288.56x = 30,408,721.06
  5. Step 5: Solve for x
    x = 30,408,721.06/8,288.56
  6. Step 6: Final answer
    x = 3,668.76

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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.