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Finding the Fourth Proportional to 8,306.85, 11,462.14 and 4,949.58

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Solution

The fourth proportional to 8,306.85, 11,462.14 and 4,949.58 is: 6,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.85 : 11,462.14 = 4,949.58 : x
  2. Step 2: Convert to fraction form
    8,306.85/11,462.14 = 4,949.58/x
  3. Step 3: Cross multiply
    8,306.85x = 11,462.14 × 4,949.58
  4. Step 4: Simplify right side
    8,306.85x = 56,732,778.90
  5. Step 5: Solve for x
    x = 56,732,778.90/8,306.85
  6. Step 6: Final answer
    x = 6,829.64

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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.