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Finding the Fourth Proportional to 8,115.82, 11,209.06 and 5,458.62

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Solution

The fourth proportional to 8,115.82, 11,209.06 and 5,458.62 is: 7,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.82 : 11,209.06 = 5,458.62 : x
  2. Step 2: Convert to fraction form
    8,115.82/11,209.06 = 5,458.62/x
  3. Step 3: Cross multiply
    8,115.82x = 11,209.06 × 5,458.62
  4. Step 4: Simplify right side
    8,115.82x = 61,185,938.03
  5. Step 5: Solve for x
    x = 61,185,938.03/8,115.82
  6. Step 6: Final answer
    x = 7,539.09

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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.