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Finding the Fourth Proportional to 8,305.50, 12,458.86 and 3,375.24

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Solution

The fourth proportional to 8,305.50, 12,458.86 and 3,375.24 is: 5,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.50 : 12,458.86 = 3,375.24 : x
  2. Step 2: Convert to fraction form
    8,305.50/12,458.86 = 3,375.24/x
  3. Step 3: Cross multiply
    8,305.50x = 12,458.86 × 3,375.24
  4. Step 4: Simplify right side
    8,305.50x = 42,051,606.45
  5. Step 5: Solve for x
    x = 42,051,606.45/8,305.50
  6. Step 6: Final answer
    x = 5,063.10

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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.