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Finding the Fourth Proportional to 8,288.56, 12,434.10 and 2,742.49

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Solution

The fourth proportional to 8,288.56, 12,434.10 and 2,742.49 is: 4,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.56 : 12,434.10 = 2,742.49 : x
  2. Step 2: Convert to fraction form
    8,288.56/12,434.10 = 2,742.49/x
  3. Step 3: Cross multiply
    8,288.56x = 12,434.10 × 2,742.49
  4. Step 4: Simplify right side
    8,288.56x = 34,100,394.91
  5. Step 5: Solve for x
    x = 34,100,394.91/8,288.56
  6. Step 6: Final answer
    x = 4,114.15

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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.