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Finding the Fourth Proportional to 8,306.97, 11,462.31 and 4,949.70

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Solution

The fourth proportional to 8,306.97, 11,462.31 and 4,949.70 is: 6,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.97 : 11,462.31 = 4,949.70 : x
  2. Step 2: Convert to fraction form
    8,306.97/11,462.31 = 4,949.70/x
  3. Step 3: Cross multiply
    8,306.97x = 11,462.31 × 4,949.70
  4. Step 4: Simplify right side
    8,306.97x = 56,734,995.81
  5. Step 5: Solve for x
    x = 56,734,995.81/8,306.97
  6. Step 6: Final answer
    x = 6,829.81

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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.