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Finding the Fourth Proportional to 10,182.20, 15,269.64 and 7,995.20

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Solution

The fourth proportional to 10,182.20, 15,269.64 and 7,995.20 is: 11,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.20 : 15,269.64 = 7,995.20 : x
  2. Step 2: Convert to fraction form
    10,182.20/15,269.64 = 7,995.20/x
  3. Step 3: Cross multiply
    10,182.20x = 15,269.64 × 7,995.20
  4. Step 4: Simplify right side
    10,182.20x = 122,083,749.38
  5. Step 5: Solve for x
    x = 122,083,749.38/10,182.20
  6. Step 6: Final answer
    x = 11,989.92

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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.