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Finding the Fourth Proportional to 8,281.84, 12,421.92 and 2,736.10

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Solution

The fourth proportional to 8,281.84, 12,421.92 and 2,736.10 is: 4,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.84 : 12,421.92 = 2,736.10 : x
  2. Step 2: Convert to fraction form
    8,281.84/12,421.92 = 2,736.10/x
  3. Step 3: Cross multiply
    8,281.84x = 12,421.92 × 2,736.10
  4. Step 4: Simplify right side
    8,281.84x = 33,987,615.31
  5. Step 5: Solve for x
    x = 33,987,615.31/8,281.84
  6. Step 6: Final answer
    x = 4,103.87

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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.