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Finding the Fourth Proportional to 8,399.82, 11,590.92 and 4,864.17

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Solution

The fourth proportional to 8,399.82, 11,590.92 and 4,864.17 is: 6,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.82 : 11,590.92 = 4,864.17 : x
  2. Step 2: Convert to fraction form
    8,399.82/11,590.92 = 4,864.17/x
  3. Step 3: Cross multiply
    8,399.82x = 11,590.92 × 4,864.17
  4. Step 4: Simplify right side
    8,399.82x = 56,380,205.34
  5. Step 5: Solve for x
    x = 56,380,205.34/8,399.82
  6. Step 6: Final answer
    x = 6,712.07

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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.