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Finding the Fourth Proportional to 8,122.82, 11,192.08 and 5,465.61

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Solution

The fourth proportional to 8,122.82, 11,192.08 and 5,465.61 is: 7,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.82 : 11,192.08 = 5,465.61 : x
  2. Step 2: Convert to fraction form
    8,122.82/11,192.08 = 5,465.61/x
  3. Step 3: Cross multiply
    8,122.82x = 11,192.08 × 5,465.61
  4. Step 4: Simplify right side
    8,122.82x = 61,171,544.37
  5. Step 5: Solve for x
    x = 61,171,544.37/8,122.82
  6. Step 6: Final answer
    x = 7,530.83

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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.