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Finding the Fourth Proportional to 8,199.84, 11,314.68 and 4,842.80

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Solution

The fourth proportional to 8,199.84, 11,314.68 and 4,842.80 is: 6,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.84 : 11,314.68 = 4,842.80 : x
  2. Step 2: Convert to fraction form
    8,199.84/11,314.68 = 4,842.80/x
  3. Step 3: Cross multiply
    8,199.84x = 11,314.68 × 4,842.80
  4. Step 4: Simplify right side
    8,199.84x = 54,794,732.30
  5. Step 5: Solve for x
    x = 54,794,732.30/8,199.84
  6. Step 6: Final answer
    x = 6,682.41

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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.