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Finding the Fourth Proportional to 10,474.87, 15,712.30 and 3,079.39

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Solution

The fourth proportional to 10,474.87, 15,712.30 and 3,079.39 is: 4,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.87 : 15,712.30 = 3,079.39 : x
  2. Step 2: Convert to fraction form
    10,474.87/15,712.30 = 3,079.39/x
  3. Step 3: Cross multiply
    10,474.87x = 15,712.30 × 3,079.39
  4. Step 4: Simplify right side
    10,474.87x = 48,384,205.54
  5. Step 5: Solve for x
    x = 48,384,205.54/10,474.87
  6. Step 6: Final answer
    x = 4,619.08

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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.