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Finding the Fourth Proportional to 8,306.83, 12,464.48 and 5,186.17

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Solution

The fourth proportional to 8,306.83, 12,464.48 and 5,186.17 is: 7,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.83 : 12,464.48 = 5,186.17 : x
  2. Step 2: Convert to fraction form
    8,306.83/12,464.48 = 5,186.17/x
  3. Step 3: Cross multiply
    8,306.83x = 12,464.48 × 5,186.17
  4. Step 4: Simplify right side
    8,306.83x = 64,642,912.24
  5. Step 5: Solve for x
    x = 64,642,912.24/8,306.83
  6. Step 6: Final answer
    x = 7,781.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.