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Finding the Fourth Proportional to 11,670.11, 17,500 and 3,348.23

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Solution

The fourth proportional to 11,670.11, 17,500 and 3,348.23 is: 5,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.11 : 17,500 = 3,348.23 : x
  2. Step 2: Convert to fraction form
    11,670.11/17,500 = 3,348.23/x
  3. Step 3: Cross multiply
    11,670.11x = 17,500 × 3,348.23
  4. Step 4: Simplify right side
    11,670.11x = 58,594,025
  5. Step 5: Solve for x
    x = 58,594,025/11,670.11
  6. Step 6: Final answer
    x = 5,020.87

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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.