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Finding the Fourth Proportional to 11,016.86, 15,198.18 and 6,538.07

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Solution

The fourth proportional to 11,016.86, 15,198.18 and 6,538.07 is: 9,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.86 : 15,198.18 = 6,538.07 : x
  2. Step 2: Convert to fraction form
    11,016.86/15,198.18 = 6,538.07/x
  3. Step 3: Cross multiply
    11,016.86x = 15,198.18 × 6,538.07
  4. Step 4: Simplify right side
    11,016.86x = 99,366,729.48
  5. Step 5: Solve for x
    x = 99,366,729.48/11,016.86
  6. Step 6: Final answer
    x = 9,019.51

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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.