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Finding the Fourth Proportional to 11,297.25, 16,945.88 and 3,089.25

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Solution

The fourth proportional to 11,297.25, 16,945.88 and 3,089.25 is: 4,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.25 : 16,945.88 = 3,089.25 : x
  2. Step 2: Convert to fraction form
    11,297.25/16,945.88 = 3,089.25/x
  3. Step 3: Cross multiply
    11,297.25x = 16,945.88 × 3,089.25
  4. Step 4: Simplify right side
    11,297.25x = 52,350,044.34
  5. Step 5: Solve for x
    x = 52,350,044.34/11,297.25
  6. Step 6: Final answer
    x = 4,633.88

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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.