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Finding the Fourth Proportional to 8,422, 11,621.29 and 5,235.82

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Solution

The fourth proportional to 8,422, 11,621.29 and 5,235.82 is: 7,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422 : 11,621.29 = 5,235.82 : x
  2. Step 2: Convert to fraction form
    8,422/11,621.29 = 5,235.82/x
  3. Step 3: Cross multiply
    8,422x = 11,621.29 × 5,235.82
  4. Step 4: Simplify right side
    8,422x = 60,846,982.61
  5. Step 5: Solve for x
    x = 60,846,982.61/8,422
  6. Step 6: Final answer
    x = 7,224.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.