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Finding the Fourth Proportional to 11,012.76, 15,198.03 and 6,538.86

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Solution

The fourth proportional to 11,012.76, 15,198.03 and 6,538.86 is: 9,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.76 : 15,198.03 = 6,538.86 : x
  2. Step 2: Convert to fraction form
    11,012.76/15,198.03 = 6,538.86/x
  3. Step 3: Cross multiply
    11,012.76x = 15,198.03 × 6,538.86
  4. Step 4: Simplify right side
    11,012.76x = 99,377,790.45
  5. Step 5: Solve for x
    x = 99,377,790.45/11,012.76
  6. Step 6: Final answer
    x = 9,023.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.