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Finding the Fourth Proportional to 11,556.50, 17,337.33 and 3,659.49

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Solution

The fourth proportional to 11,556.50, 17,337.33 and 3,659.49 is: 5,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.50 : 17,337.33 = 3,659.49 : x
  2. Step 2: Convert to fraction form
    11,556.50/17,337.33 = 3,659.49/x
  3. Step 3: Cross multiply
    11,556.50x = 17,337.33 × 3,659.49
  4. Step 4: Simplify right side
    11,556.50x = 63,445,785.76
  5. Step 5: Solve for x
    x = 63,445,785.76/11,556.50
  6. Step 6: Final answer
    x = 5,490.05

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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.