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Finding the Fourth Proportional to 8,872.50, 13,311.18 and 3,678.38

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Solution

The fourth proportional to 8,872.50, 13,311.18 and 3,678.38 is: 5,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872.50 : 13,311.18 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    8,872.50/13,311.18 = 3,678.38/x
  3. Step 3: Cross multiply
    8,872.50x = 13,311.18 × 3,678.38
  4. Step 4: Simplify right side
    8,872.50x = 48,963,578.29
  5. Step 5: Solve for x
    x = 48,963,578.29/8,872.50
  6. Step 6: Final answer
    x = 5,518.58

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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.