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Finding the Fourth Proportional to 7,843.16, 11,764.74 and 2,649.04

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Solution

The fourth proportional to 7,843.16, 11,764.74 and 2,649.04 is: 3,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.16 : 11,764.74 = 2,649.04 : x
  2. Step 2: Convert to fraction form
    7,843.16/11,764.74 = 2,649.04/x
  3. Step 3: Cross multiply
    7,843.16x = 11,764.74 × 2,649.04
  4. Step 4: Simplify right side
    7,843.16x = 31,165,266.85
  5. Step 5: Solve for x
    x = 31,165,266.85/7,843.16
  6. Step 6: Final answer
    x = 3,973.56

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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.