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Finding the Fourth Proportional to 7,147.52, 10,722.72 and 2,216.96

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Solution

The fourth proportional to 7,147.52, 10,722.72 and 2,216.96 is: 3,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.52 : 10,722.72 = 2,216.96 : x
  2. Step 2: Convert to fraction form
    7,147.52/10,722.72 = 2,216.96/x
  3. Step 3: Cross multiply
    7,147.52x = 10,722.72 × 2,216.96
  4. Step 4: Simplify right side
    7,147.52x = 23,771,841.33
  5. Step 5: Solve for x
    x = 23,771,841.33/7,147.52
  6. Step 6: Final answer
    x = 3,325.89

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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.