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Finding the Fourth Proportional to 7,161.19, 10,741.91 and 1,967.20

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Solution

The fourth proportional to 7,161.19, 10,741.91 and 1,967.20 is: 2,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.19 : 10,741.91 = 1,967.20 : x
  2. Step 2: Convert to fraction form
    7,161.19/10,741.91 = 1,967.20/x
  3. Step 3: Cross multiply
    7,161.19x = 10,741.91 × 1,967.20
  4. Step 4: Simplify right side
    7,161.19x = 21,131,485.35
  5. Step 5: Solve for x
    x = 21,131,485.35/7,161.19
  6. Step 6: Final answer
    x = 2,950.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.