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Finding the Fourth Proportional to 10,310.12, 15,454.79 and 4,074.56

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Solution

The fourth proportional to 10,310.12, 15,454.79 and 4,074.56 is: 6,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.12 : 15,454.79 = 4,074.56 : x
  2. Step 2: Convert to fraction form
    10,310.12/15,454.79 = 4,074.56/x
  3. Step 3: Cross multiply
    10,310.12x = 15,454.79 × 4,074.56
  4. Step 4: Simplify right side
    10,310.12x = 62,971,371.50
  5. Step 5: Solve for x
    x = 62,971,371.50/10,310.12
  6. Step 6: Final answer
    x = 6,107.73

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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.