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Finding the Fourth Proportional to 11,869.50, 17,806.74 and 4,078.92

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Solution

The fourth proportional to 11,869.50, 17,806.74 and 4,078.92 is: 6,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.50 : 17,806.74 = 4,078.92 : x
  2. Step 2: Convert to fraction form
    11,869.50/17,806.74 = 4,078.92/x
  3. Step 3: Cross multiply
    11,869.50x = 17,806.74 × 4,078.92
  4. Step 4: Simplify right side
    11,869.50x = 72,632,267.92
  5. Step 5: Solve for x
    x = 72,632,267.92/11,869.50
  6. Step 6: Final answer
    x = 6,119.24

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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.