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Finding the Fourth Proportional to 11,902.91, 17,856.18 and 3,138.50

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Solution

The fourth proportional to 11,902.91, 17,856.18 and 3,138.50 is: 4,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.91 : 17,856.18 = 3,138.50 : x
  2. Step 2: Convert to fraction form
    11,902.91/17,856.18 = 3,138.50/x
  3. Step 3: Cross multiply
    11,902.91x = 17,856.18 × 3,138.50
  4. Step 4: Simplify right side
    11,902.91x = 56,041,665.57
  5. Step 5: Solve for x
    x = 56,041,665.57/11,902.91
  6. Step 6: Final answer
    x = 4,708.23

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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.