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Finding the Fourth Proportional to 8,274.90, 12,412.26 and 2,431.29

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Solution

The fourth proportional to 8,274.90, 12,412.26 and 2,431.29 is: 3,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.90 : 12,412.26 = 2,431.29 : x
  2. Step 2: Convert to fraction form
    8,274.90/12,412.26 = 2,431.29/x
  3. Step 3: Cross multiply
    8,274.90x = 12,412.26 × 2,431.29
  4. Step 4: Simplify right side
    8,274.90x = 30,177,803.62
  5. Step 5: Solve for x
    x = 30,177,803.62/8,274.90
  6. Step 6: Final answer
    x = 3,646.91

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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.