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Finding the Fourth Proportional to 11,337.50, 17,005.71 and 3,439.67

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Solution

The fourth proportional to 11,337.50, 17,005.71 and 3,439.67 is: 5,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.50 : 17,005.71 = 3,439.67 : x
  2. Step 2: Convert to fraction form
    11,337.50/17,005.71 = 3,439.67/x
  3. Step 3: Cross multiply
    11,337.50x = 17,005.71 × 3,439.67
  4. Step 4: Simplify right side
    11,337.50x = 58,493,958.39
  5. Step 5: Solve for x
    x = 58,493,958.39/11,337.50
  6. Step 6: Final answer
    x = 5,159.33

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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.