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Finding the Fourth Proportional to 8,587.62, 11,824.38 and 6,706.80

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Solution

The fourth proportional to 8,587.62, 11,824.38 and 6,706.80 is: 9,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.62 : 11,824.38 = 6,706.80 : x
  2. Step 2: Convert to fraction form
    8,587.62/11,824.38 = 6,706.80/x
  3. Step 3: Cross multiply
    8,587.62x = 11,824.38 × 6,706.80
  4. Step 4: Simplify right side
    8,587.62x = 79,303,751.78
  5. Step 5: Solve for x
    x = 79,303,751.78/8,587.62
  6. Step 6: Final answer
    x = 9,234.66

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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.