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Finding the Fourth Proportional to 7,617.82, 11,424.28 and 2,422.48

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Solution

The fourth proportional to 7,617.82, 11,424.28 and 2,422.48 is: 3,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.82 : 11,424.28 = 2,422.48 : x
  2. Step 2: Convert to fraction form
    7,617.82/11,424.28 = 2,422.48/x
  3. Step 3: Cross multiply
    7,617.82x = 11,424.28 × 2,422.48
  4. Step 4: Simplify right side
    7,617.82x = 27,675,089.81
  5. Step 5: Solve for x
    x = 27,675,089.81/7,617.82
  6. Step 6: Final answer
    x = 3,632.94

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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.