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Finding the Fourth Proportional to 6,987.70, 10,467.48 and 3,234.19

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Solution

The fourth proportional to 6,987.70, 10,467.48 and 3,234.19 is: 4,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.70 : 10,467.48 = 3,234.19 : x
  2. Step 2: Convert to fraction form
    6,987.70/10,467.48 = 3,234.19/x
  3. Step 3: Cross multiply
    6,987.70x = 10,467.48 × 3,234.19
  4. Step 4: Simplify right side
    6,987.70x = 33,853,819.14
  5. Step 5: Solve for x
    x = 33,853,819.14/6,987.70
  6. Step 6: Final answer
    x = 4,844.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.