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Finding the Fourth Proportional to 11,351.62, 15,665.30 and 6,316.39

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Solution

The fourth proportional to 11,351.62, 15,665.30 and 6,316.39 is: 8,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.62 : 15,665.30 = 6,316.39 : x
  2. Step 2: Convert to fraction form
    11,351.62/15,665.30 = 6,316.39/x
  3. Step 3: Cross multiply
    11,351.62x = 15,665.30 × 6,316.39
  4. Step 4: Simplify right side
    11,351.62x = 98,948,144.27
  5. Step 5: Solve for x
    x = 98,948,144.27/11,351.62
  6. Step 6: Final answer
    x = 8,716.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.