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Finding the Fourth Proportional to 8,091.70, 11,165.24 and 5,109.14

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Solution

The fourth proportional to 8,091.70, 11,165.24 and 5,109.14 is: 7,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.70 : 11,165.24 = 5,109.14 : x
  2. Step 2: Convert to fraction form
    8,091.70/11,165.24 = 5,109.14/x
  3. Step 3: Cross multiply
    8,091.70x = 11,165.24 × 5,109.14
  4. Step 4: Simplify right side
    8,091.70x = 57,044,774.29
  5. Step 5: Solve for x
    x = 57,044,774.29/8,091.70
  6. Step 6: Final answer
    x = 7,049.79

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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.