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Finding the Fourth Proportional to 8,306.39, 11,462.99 and 4,949.84

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Solution

The fourth proportional to 8,306.39, 11,462.99 and 4,949.84 is: 6,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.39 : 11,462.99 = 4,949.84 : x
  2. Step 2: Convert to fraction form
    8,306.39/11,462.99 = 4,949.84/x
  3. Step 3: Cross multiply
    8,306.39x = 11,462.99 × 4,949.84
  4. Step 4: Simplify right side
    8,306.39x = 56,739,884.36
  5. Step 5: Solve for x
    x = 56,739,884.36/8,306.39
  6. Step 6: Final answer
    x = 6,830.88

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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.