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Finding the Fourth Proportional to 8,281.95, 12,424.16 and 2,735.88

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Solution

The fourth proportional to 8,281.95, 12,424.16 and 2,735.88 is: 4,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.95 : 12,424.16 = 2,735.88 : x
  2. Step 2: Convert to fraction form
    8,281.95/12,424.16 = 2,735.88/x
  3. Step 3: Cross multiply
    8,281.95x = 12,424.16 × 2,735.88
  4. Step 4: Simplify right side
    8,281.95x = 33,990,997.18
  5. Step 5: Solve for x
    x = 33,990,997.18/8,281.95
  6. Step 6: Final answer
    x = 4,104.23

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Why These Related Problems?

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