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Finding the Fourth Proportional to 10,519.14, 15,766.72 and 6,572.22

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Solution

The fourth proportional to 10,519.14, 15,766.72 and 6,572.22 is: 9,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.14 : 15,766.72 = 6,572.22 : x
  2. Step 2: Convert to fraction form
    10,519.14/15,766.72 = 6,572.22/x
  3. Step 3: Cross multiply
    10,519.14x = 15,766.72 × 6,572.22
  4. Step 4: Simplify right side
    10,519.14x = 103,622,276.96
  5. Step 5: Solve for x
    x = 103,622,276.96/10,519.14
  6. Step 6: Final answer
    x = 9,850.83

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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.