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Finding the Fourth Proportional to 8,034.20, 12,043.74 and 2,837.24

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Solution

The fourth proportional to 8,034.20, 12,043.74 and 2,837.24 is: 4,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.20 : 12,043.74 = 2,837.24 : x
  2. Step 2: Convert to fraction form
    8,034.20/12,043.74 = 2,837.24/x
  3. Step 3: Cross multiply
    8,034.20x = 12,043.74 × 2,837.24
  4. Step 4: Simplify right side
    8,034.20x = 34,170,980.88
  5. Step 5: Solve for x
    x = 34,170,980.88/8,034.20
  6. Step 6: Final answer
    x = 4,253.19

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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.