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Finding the Fourth Proportional to 11,015.16, 15,199.86 and 6,538.12

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Solution

The fourth proportional to 11,015.16, 15,199.86 and 6,538.12 is: 9,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015.16 : 15,199.86 = 6,538.12 : x
  2. Step 2: Convert to fraction form
    11,015.16/15,199.86 = 6,538.12/x
  3. Step 3: Cross multiply
    11,015.16x = 15,199.86 × 6,538.12
  4. Step 4: Simplify right side
    11,015.16x = 99,378,508.66
  5. Step 5: Solve for x
    x = 99,378,508.66/11,015.16
  6. Step 6: Final answer
    x = 9,021.98

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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.