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Finding the Fourth Proportional to 10,627.25, 15,934.04 and 4,049.85

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Solution

The fourth proportional to 10,627.25, 15,934.04 and 4,049.85 is: 6,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.25 : 15,934.04 = 4,049.85 : x
  2. Step 2: Convert to fraction form
    10,627.25/15,934.04 = 4,049.85/x
  3. Step 3: Cross multiply
    10,627.25x = 15,934.04 × 4,049.85
  4. Step 4: Simplify right side
    10,627.25x = 64,530,392.22
  5. Step 5: Solve for x
    x = 64,530,392.22/10,627.25
  6. Step 6: Final answer
    x = 6,072.16

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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.