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Finding the Fourth Proportional to 7,894.75, 11,841.89 and 2,348.11

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Solution

The fourth proportional to 7,894.75, 11,841.89 and 2,348.11 is: 3,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.75 : 11,841.89 = 2,348.11 : x
  2. Step 2: Convert to fraction form
    7,894.75/11,841.89 = 2,348.11/x
  3. Step 3: Cross multiply
    7,894.75x = 11,841.89 × 2,348.11
  4. Step 4: Simplify right side
    7,894.75x = 27,805,989.38
  5. Step 5: Solve for x
    x = 27,805,989.38/7,894.75
  6. Step 6: Final answer
    x = 3,522.09

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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.