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Finding the Fourth Proportional to 10,375.82, 15,563.69 and 6,217.08

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Solution

The fourth proportional to 10,375.82, 15,563.69 and 6,217.08 is: 9,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.82 : 15,563.69 = 6,217.08 : x
  2. Step 2: Convert to fraction form
    10,375.82/15,563.69 = 6,217.08/x
  3. Step 3: Cross multiply
    10,375.82x = 15,563.69 × 6,217.08
  4. Step 4: Simplify right side
    10,375.82x = 96,760,705.83
  5. Step 5: Solve for x
    x = 96,760,705.83/10,375.82
  6. Step 6: Final answer
    x = 9,325.60

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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.