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Finding the Fourth Proportional to 11,162.76, 15,403.82 and 8,191.14

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Solution

The fourth proportional to 11,162.76, 15,403.82 and 8,191.14 is: 11,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.76 : 15,403.82 = 8,191.14 : x
  2. Step 2: Convert to fraction form
    11,162.76/15,403.82 = 8,191.14/x
  3. Step 3: Cross multiply
    11,162.76x = 15,403.82 × 8,191.14
  4. Step 4: Simplify right side
    11,162.76x = 126,174,805.20
  5. Step 5: Solve for x
    x = 126,174,805.20/11,162.76
  6. Step 6: Final answer
    x = 11,303.19

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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.