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Finding the Fourth Proportional to 8,019.50, 12,028.47 and 2,471.35

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Solution

The fourth proportional to 8,019.50, 12,028.47 and 2,471.35 is: 3,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.50 : 12,028.47 = 2,471.35 : x
  2. Step 2: Convert to fraction form
    8,019.50/12,028.47 = 2,471.35/x
  3. Step 3: Cross multiply
    8,019.50x = 12,028.47 × 2,471.35
  4. Step 4: Simplify right side
    8,019.50x = 29,726,557.79
  5. Step 5: Solve for x
    x = 29,726,557.79/8,019.50
  6. Step 6: Final answer
    x = 3,706.79

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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.