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Finding the Fourth Proportional to 11,136.64, 16,766.56 and 9,218.56

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Solution

The fourth proportional to 11,136.64, 16,766.56 and 9,218.56 is: 13,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.64 : 16,766.56 = 9,218.56 : x
  2. Step 2: Convert to fraction form
    11,136.64/16,766.56 = 9,218.56/x
  3. Step 3: Cross multiply
    11,136.64x = 16,766.56 × 9,218.56
  4. Step 4: Simplify right side
    11,136.64x = 154,563,539.35
  5. Step 5: Solve for x
    x = 154,563,539.35/11,136.64
  6. Step 6: Final answer
    x = 13,878.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.