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Finding the Fourth Proportional to 8,392.82, 11,582.55 and 4,616.33

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Solution

The fourth proportional to 8,392.82, 11,582.55 and 4,616.33 is: 6,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.82 : 11,582.55 = 4,616.33 : x
  2. Step 2: Convert to fraction form
    8,392.82/11,582.55 = 4,616.33/x
  3. Step 3: Cross multiply
    8,392.82x = 11,582.55 × 4,616.33
  4. Step 4: Simplify right side
    8,392.82x = 53,468,815.13
  5. Step 5: Solve for x
    x = 53,468,815.13/8,392.82
  6. Step 6: Final answer
    x = 6,370.78

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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.