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Finding the Fourth Proportional to 11,766.71, 17,650.07 and 3,446.93

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Solution

The fourth proportional to 11,766.71, 17,650.07 and 3,446.93 is: 5,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.71 : 17,650.07 = 3,446.93 : x
  2. Step 2: Convert to fraction form
    11,766.71/17,650.07 = 3,446.93/x
  3. Step 3: Cross multiply
    11,766.71x = 17,650.07 × 3,446.93
  4. Step 4: Simplify right side
    11,766.71x = 60,838,555.79
  5. Step 5: Solve for x
    x = 60,838,555.79/11,766.71
  6. Step 6: Final answer
    x = 5,170.40

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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.