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Finding the Fourth Proportional to 11,223.42, 16,816.52 and 6,827.58

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Solution

The fourth proportional to 11,223.42, 16,816.52 and 6,827.58 is: 10,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.42 : 16,816.52 = 6,827.58 : x
  2. Step 2: Convert to fraction form
    11,223.42/16,816.52 = 6,827.58/x
  3. Step 3: Cross multiply
    11,223.42x = 16,816.52 × 6,827.58
  4. Step 4: Simplify right side
    11,223.42x = 114,816,135.62
  5. Step 5: Solve for x
    x = 114,816,135.62/11,223.42
  6. Step 6: Final answer
    x = 10,230.05

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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.