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Finding the Fourth Proportional to 8,236.74, 11,331.42 and 7,442.12

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Solution

The fourth proportional to 8,236.74, 11,331.42 and 7,442.12 is: 10,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.74 : 11,331.42 = 7,442.12 : x
  2. Step 2: Convert to fraction form
    8,236.74/11,331.42 = 7,442.12/x
  3. Step 3: Cross multiply
    8,236.74x = 11,331.42 × 7,442.12
  4. Step 4: Simplify right side
    8,236.74x = 84,329,787.41
  5. Step 5: Solve for x
    x = 84,329,787.41/8,236.74
  6. Step 6: Final answer
    x = 10,238.25

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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.