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Finding the Fourth Proportional to 7,637.67, 11,462.37 and 3,422.22

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Solution

The fourth proportional to 7,637.67, 11,462.37 and 3,422.22 is: 5,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.67 : 11,462.37 = 3,422.22 : x
  2. Step 2: Convert to fraction form
    7,637.67/11,462.37 = 3,422.22/x
  3. Step 3: Cross multiply
    7,637.67x = 11,462.37 × 3,422.22
  4. Step 4: Simplify right side
    7,637.67x = 39,226,751.86
  5. Step 5: Solve for x
    x = 39,226,751.86/7,637.67
  6. Step 6: Final answer
    x = 5,135.96

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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.