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Finding the Fourth Proportional to 10,644.85, 15,950.71 and 4,067.44

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Solution

The fourth proportional to 10,644.85, 15,950.71 and 4,067.44 is: 6,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.85 : 15,950.71 = 4,067.44 : x
  2. Step 2: Convert to fraction form
    10,644.85/15,950.71 = 4,067.44/x
  3. Step 3: Cross multiply
    10,644.85x = 15,950.71 × 4,067.44
  4. Step 4: Simplify right side
    10,644.85x = 64,878,555.88
  5. Step 5: Solve for x
    x = 64,878,555.88/10,644.85
  6. Step 6: Final answer
    x = 6,094.83

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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.