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Finding the Fourth Proportional to 8,154.71, 12,228.10 and 3,989.84

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Solution

The fourth proportional to 8,154.71, 12,228.10 and 3,989.84 is: 5,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.71 : 12,228.10 = 3,989.84 : x
  2. Step 2: Convert to fraction form
    8,154.71/12,228.10 = 3,989.84/x
  3. Step 3: Cross multiply
    8,154.71x = 12,228.10 × 3,989.84
  4. Step 4: Simplify right side
    8,154.71x = 48,788,162.50
  5. Step 5: Solve for x
    x = 48,788,162.50/8,154.71
  6. Step 6: Final answer
    x = 5,982.82

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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.