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Finding the Fourth Proportional to 11,609.40, 17,404.50 and 5,770.08

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Solution

The fourth proportional to 11,609.40, 17,404.50 and 5,770.08 is: 8,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.40 : 17,404.50 = 5,770.08 : x
  2. Step 2: Convert to fraction form
    11,609.40/17,404.50 = 5,770.08/x
  3. Step 3: Cross multiply
    11,609.40x = 17,404.50 × 5,770.08
  4. Step 4: Simplify right side
    11,609.40x = 100,425,357.36
  5. Step 5: Solve for x
    x = 100,425,357.36/11,609.40
  6. Step 6: Final answer
    x = 8,650.35

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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.