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Finding the Fourth Proportional to 7,462.68, 11,195.76 and 2,782.71

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Solution

The fourth proportional to 7,462.68, 11,195.76 and 2,782.71 is: 4,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.68 : 11,195.76 = 2,782.71 : x
  2. Step 2: Convert to fraction form
    7,462.68/11,195.76 = 2,782.71/x
  3. Step 3: Cross multiply
    7,462.68x = 11,195.76 × 2,782.71
  4. Step 4: Simplify right side
    7,462.68x = 31,154,553.31
  5. Step 5: Solve for x
    x = 31,154,553.31/7,462.68
  6. Step 6: Final answer
    x = 4,174.71

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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.