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Finding the Fourth Proportional to 8,817.84, 12,168.46 and 4,839

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Solution

The fourth proportional to 8,817.84, 12,168.46 and 4,839 is: 6,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817.84 : 12,168.46 = 4,839 : x
  2. Step 2: Convert to fraction form
    8,817.84/12,168.46 = 4,839/x
  3. Step 3: Cross multiply
    8,817.84x = 12,168.46 × 4,839
  4. Step 4: Simplify right side
    8,817.84x = 58,883,177.94
  5. Step 5: Solve for x
    x = 58,883,177.94/8,817.84
  6. Step 6: Final answer
    x = 6,677.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.