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Finding the Fourth Proportional to 11,252.25, 16,878.41 and 3,044.25

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Solution

The fourth proportional to 11,252.25, 16,878.41 and 3,044.25 is: 4,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.25 : 16,878.41 = 3,044.25 : x
  2. Step 2: Convert to fraction form
    11,252.25/16,878.41 = 3,044.25/x
  3. Step 3: Cross multiply
    11,252.25x = 16,878.41 × 3,044.25
  4. Step 4: Simplify right side
    11,252.25x = 51,382,084.42
  5. Step 5: Solve for x
    x = 51,382,084.42/11,252.25
  6. Step 6: Final answer
    x = 4,566.38

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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.