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Finding the Fourth Proportional to 8,757, 12,084.66 and 5,967.36

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Solution

The fourth proportional to 8,757, 12,084.66 and 5,967.36 is: 8,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757 : 12,084.66 = 5,967.36 : x
  2. Step 2: Convert to fraction form
    8,757/12,084.66 = 5,967.36/x
  3. Step 3: Cross multiply
    8,757x = 12,084.66 × 5,967.36
  4. Step 4: Simplify right side
    8,757x = 72,113,516.70
  5. Step 5: Solve for x
    x = 72,113,516.70/8,757
  6. Step 6: Final answer
    x = 8,234.96

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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.