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Finding the Fourth Proportional to 10,365.45, 15,542.10 and 7,082.52

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Solution

The fourth proportional to 10,365.45, 15,542.10 and 7,082.52 is: 10,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.45 : 15,542.10 = 7,082.52 : x
  2. Step 2: Convert to fraction form
    10,365.45/15,542.10 = 7,082.52/x
  3. Step 3: Cross multiply
    10,365.45x = 15,542.10 × 7,082.52
  4. Step 4: Simplify right side
    10,365.45x = 110,077,234.09
  5. Step 5: Solve for x
    x = 110,077,234.09/10,365.45
  6. Step 6: Final answer
    x = 10,619.63

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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.