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Finding the Fourth Proportional to 7,254.30, 10,874.10 and 2,874.80

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Solution

The fourth proportional to 7,254.30, 10,874.10 and 2,874.80 is: 4,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.30 : 10,874.10 = 2,874.80 : x
  2. Step 2: Convert to fraction form
    7,254.30/10,874.10 = 2,874.80/x
  3. Step 3: Cross multiply
    7,254.30x = 10,874.10 × 2,874.80
  4. Step 4: Simplify right side
    7,254.30x = 31,260,862.68
  5. Step 5: Solve for x
    x = 31,260,862.68/7,254.30
  6. Step 6: Final answer
    x = 4,309.29

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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.