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Finding the Fourth Proportional to 7,161.39, 9,860.26 and 6,505.29

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Solution

The fourth proportional to 7,161.39, 9,860.26 and 6,505.29 is: 8,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.39 : 9,860.26 = 6,505.29 : x
  2. Step 2: Convert to fraction form
    7,161.39/9,860.26 = 6,505.29/x
  3. Step 3: Cross multiply
    7,161.39x = 9,860.26 × 6,505.29
  4. Step 4: Simplify right side
    7,161.39x = 64,143,850.78
  5. Step 5: Solve for x
    x = 64,143,850.78/7,161.39
  6. Step 6: Final answer
    x = 8,956.90

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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.