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Finding the Fourth Proportional to 8,278.70, 12,419.26 and 2,434.54

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Solution

The fourth proportional to 8,278.70, 12,419.26 and 2,434.54 is: 3,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.70 : 12,419.26 = 2,434.54 : x
  2. Step 2: Convert to fraction form
    8,278.70/12,419.26 = 2,434.54/x
  3. Step 3: Cross multiply
    8,278.70x = 12,419.26 × 2,434.54
  4. Step 4: Simplify right side
    8,278.70x = 30,235,185.24
  5. Step 5: Solve for x
    x = 30,235,185.24/8,278.70
  6. Step 6: Final answer
    x = 3,652.17

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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.