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Finding the Fourth Proportional to 8,284.73, 11,424.78 and 5,454.59

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Solution

The fourth proportional to 8,284.73, 11,424.78 and 5,454.59 is: 7,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.73 : 11,424.78 = 5,454.59 : x
  2. Step 2: Convert to fraction form
    8,284.73/11,424.78 = 5,454.59/x
  3. Step 3: Cross multiply
    8,284.73x = 11,424.78 × 5,454.59
  4. Step 4: Simplify right side
    8,284.73x = 62,317,433.62
  5. Step 5: Solve for x
    x = 62,317,433.62/8,284.73
  6. Step 6: Final answer
    x = 7,521.97

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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.