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Finding the Fourth Proportional to 7,894.19, 11,841.28 and 2,349.47

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Solution

The fourth proportional to 7,894.19, 11,841.28 and 2,349.47 is: 3,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.19 : 11,841.28 = 2,349.47 : x
  2. Step 2: Convert to fraction form
    7,894.19/11,841.28 = 2,349.47/x
  3. Step 3: Cross multiply
    7,894.19x = 11,841.28 × 2,349.47
  4. Step 4: Simplify right side
    7,894.19x = 27,820,755.85
  5. Step 5: Solve for x
    x = 27,820,755.85/7,894.19
  6. Step 6: Final answer
    x = 3,524.21

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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.