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Finding the Fourth Proportional to 7,896.84, 11,841.12 and 2,349.42

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Solution

The fourth proportional to 7,896.84, 11,841.12 and 2,349.42 is: 3,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.84 : 11,841.12 = 2,349.42 : x
  2. Step 2: Convert to fraction form
    7,896.84/11,841.12 = 2,349.42/x
  3. Step 3: Cross multiply
    7,896.84x = 11,841.12 × 2,349.42
  4. Step 4: Simplify right side
    7,896.84x = 27,819,764.15
  5. Step 5: Solve for x
    x = 27,819,764.15/7,896.84
  6. Step 6: Final answer
    x = 3,522.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.