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Finding the Fourth Proportional to 7,642.57, 11,461.49 and 3,691.37

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Solution

The fourth proportional to 7,642.57, 11,461.49 and 3,691.37 is: 5,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.57 : 11,461.49 = 3,691.37 : x
  2. Step 2: Convert to fraction form
    7,642.57/11,461.49 = 3,691.37/x
  3. Step 3: Cross multiply
    7,642.57x = 11,461.49 × 3,691.37
  4. Step 4: Simplify right side
    7,642.57x = 42,308,610.54
  5. Step 5: Solve for x
    x = 42,308,610.54/7,642.57
  6. Step 6: Final answer
    x = 5,535.91

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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.