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Finding the Fourth Proportional to 10,449.19, 15,662.85 and 6,500.44

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Solution

The fourth proportional to 10,449.19, 15,662.85 and 6,500.44 is: 9,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.19 : 15,662.85 = 6,500.44 : x
  2. Step 2: Convert to fraction form
    10,449.19/15,662.85 = 6,500.44/x
  3. Step 3: Cross multiply
    10,449.19x = 15,662.85 × 6,500.44
  4. Step 4: Simplify right side
    10,449.19x = 101,815,416.65
  5. Step 5: Solve for x
    x = 101,815,416.65/10,449.19
  6. Step 6: Final answer
    x = 9,743.86

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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.