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Finding the Fourth Proportional to 8,377.50, 12,546.14 and 6,999.69

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Solution

The fourth proportional to 8,377.50, 12,546.14 and 6,999.69 is: 10,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.50 : 12,546.14 = 6,999.69 : x
  2. Step 2: Convert to fraction form
    8,377.50/12,546.14 = 6,999.69/x
  3. Step 3: Cross multiply
    8,377.50x = 12,546.14 × 6,999.69
  4. Step 4: Simplify right side
    8,377.50x = 87,819,055.70
  5. Step 5: Solve for x
    x = 87,819,055.70/8,377.50
  6. Step 6: Final answer
    x = 10,482.73

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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.