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Finding the Fourth Proportional to 7,234.50, 10,853.16 and 3,074.46

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Solution

The fourth proportional to 7,234.50, 10,853.16 and 3,074.46 is: 4,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.50 : 10,853.16 = 3,074.46 : x
  2. Step 2: Convert to fraction form
    7,234.50/10,853.16 = 3,074.46/x
  3. Step 3: Cross multiply
    7,234.50x = 10,853.16 × 3,074.46
  4. Step 4: Simplify right side
    7,234.50x = 33,367,606.29
  5. Step 5: Solve for x
    x = 33,367,606.29/7,234.50
  6. Step 6: Final answer
    x = 4,612.29

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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.