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Finding the Fourth Proportional to 8,034.10, 12,047.55 and 3,649.30

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Solution

The fourth proportional to 8,034.10, 12,047.55 and 3,649.30 is: 5,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.10 : 12,047.55 = 3,649.30 : x
  2. Step 2: Convert to fraction form
    8,034.10/12,047.55 = 3,649.30/x
  3. Step 3: Cross multiply
    8,034.10x = 12,047.55 × 3,649.30
  4. Step 4: Simplify right side
    8,034.10x = 43,965,124.22
  5. Step 5: Solve for x
    x = 43,965,124.22/8,034.10
  6. Step 6: Final answer
    x = 5,472.31

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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.