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Finding the Fourth Proportional to 8,238.62, 11,356.00 and 6,442.92

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Solution

The fourth proportional to 8,238.62, 11,356.00 and 6,442.92 is: 8,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.62 : 11,356.00 = 6,442.92 : x
  2. Step 2: Convert to fraction form
    8,238.62/11,356.00 = 6,442.92/x
  3. Step 3: Cross multiply
    8,238.62x = 11,356.00 × 6,442.92
  4. Step 4: Simplify right side
    8,238.62x = 73,165,783.41
  5. Step 5: Solve for x
    x = 73,165,783.41/8,238.62
  6. Step 6: Final answer
    x = 8,880.83

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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.