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Finding the Fourth Proportional to 10,878.80, 16,318.82 and 3,087

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Solution

The fourth proportional to 10,878.80, 16,318.82 and 3,087 is: 4,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.80 : 16,318.82 = 3,087 : x
  2. Step 2: Convert to fraction form
    10,878.80/16,318.82 = 3,087/x
  3. Step 3: Cross multiply
    10,878.80x = 16,318.82 × 3,087
  4. Step 4: Simplify right side
    10,878.80x = 50,376,197.34
  5. Step 5: Solve for x
    x = 50,376,197.34/10,878.80
  6. Step 6: Final answer
    x = 4,630.68

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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.