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Finding the Fourth Proportional to 11,175.84, 16,766.46 and 7,895.34

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Solution

The fourth proportional to 11,175.84, 16,766.46 and 7,895.34 is: 11,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.84 : 16,766.46 = 7,895.34 : x
  2. Step 2: Convert to fraction form
    11,175.84/16,766.46 = 7,895.34/x
  3. Step 3: Cross multiply
    11,175.84x = 16,766.46 × 7,895.34
  4. Step 4: Simplify right side
    11,175.84x = 132,376,902.30
  5. Step 5: Solve for x
    x = 132,376,902.30/11,175.84
  6. Step 6: Final answer
    x = 11,844.92

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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.