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Finding the Fourth Proportional to 11,230.78, 16,827 and 6,297.34

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Solution

The fourth proportional to 11,230.78, 16,827 and 6,297.34 is: 9,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.78 : 16,827 = 6,297.34 : x
  2. Step 2: Convert to fraction form
    11,230.78/16,827 = 6,297.34/x
  3. Step 3: Cross multiply
    11,230.78x = 16,827 × 6,297.34
  4. Step 4: Simplify right side
    11,230.78x = 105,965,340.18
  5. Step 5: Solve for x
    x = 105,965,340.18/11,230.78
  6. Step 6: Final answer
    x = 9,435.26

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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.