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Finding the Fourth Proportional to 11,078, 15,269.82 and 8,089.10

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Solution

The fourth proportional to 11,078, 15,269.82 and 8,089.10 is: 11,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078 : 15,269.82 = 8,089.10 : x
  2. Step 2: Convert to fraction form
    11,078/15,269.82 = 8,089.10/x
  3. Step 3: Cross multiply
    11,078x = 15,269.82 × 8,089.10
  4. Step 4: Simplify right side
    11,078x = 123,519,100.96
  5. Step 5: Solve for x
    x = 123,519,100.96/11,078
  6. Step 6: Final answer
    x = 11,149.95

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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.