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Finding the Fourth Proportional to 7,146.84, 10,723.91 and 3,452.22

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Solution

The fourth proportional to 7,146.84, 10,723.91 and 3,452.22 is: 5,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.84 : 10,723.91 = 3,452.22 : x
  2. Step 2: Convert to fraction form
    7,146.84/10,723.91 = 3,452.22/x
  3. Step 3: Cross multiply
    7,146.84x = 10,723.91 × 3,452.22
  4. Step 4: Simplify right side
    7,146.84x = 37,021,279.32
  5. Step 5: Solve for x
    x = 37,021,279.32/7,146.84
  6. Step 6: Final answer
    x = 5,180.09

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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.