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Finding the Fourth Proportional to 8,278.64, 12,419.70 and 2,434.76

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Solution

The fourth proportional to 8,278.64, 12,419.70 and 2,434.76 is: 3,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.64 : 12,419.70 = 2,434.76 : x
  2. Step 2: Convert to fraction form
    8,278.64/12,419.70 = 2,434.76/x
  3. Step 3: Cross multiply
    8,278.64x = 12,419.70 × 2,434.76
  4. Step 4: Simplify right side
    8,278.64x = 30,238,988.77
  5. Step 5: Solve for x
    x = 30,238,988.77/8,278.64
  6. Step 6: Final answer
    x = 3,652.65

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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.