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Finding the Fourth Proportional to 11,767.50, 17,651.14 and 3,002.29

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Solution

The fourth proportional to 11,767.50, 17,651.14 and 3,002.29 is: 4,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.50 : 17,651.14 = 3,002.29 : x
  2. Step 2: Convert to fraction form
    11,767.50/17,651.14 = 3,002.29/x
  3. Step 3: Cross multiply
    11,767.50x = 17,651.14 × 3,002.29
  4. Step 4: Simplify right side
    11,767.50x = 52,993,841.11
  5. Step 5: Solve for x
    x = 52,993,841.11/11,767.50
  6. Step 6: Final answer
    x = 4,503.41

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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.