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Finding the Fourth Proportional to 8,274.48, 12,411.84 and 2,431.20

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Solution

The fourth proportional to 8,274.48, 12,411.84 and 2,431.20 is: 3,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.48 : 12,411.84 = 2,431.20 : x
  2. Step 2: Convert to fraction form
    8,274.48/12,411.84 = 2,431.20/x
  3. Step 3: Cross multiply
    8,274.48x = 12,411.84 × 2,431.20
  4. Step 4: Simplify right side
    8,274.48x = 30,175,665.41
  5. Step 5: Solve for x
    x = 30,175,665.41/8,274.48
  6. Step 6: Final answer
    x = 3,646.84

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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.