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Finding the Fourth Proportional to 7,843.49, 11,765.16 and 1,920.39

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Solution

The fourth proportional to 7,843.49, 11,765.16 and 1,920.39 is: 2,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.49 : 11,765.16 = 1,920.39 : x
  2. Step 2: Convert to fraction form
    7,843.49/11,765.16 = 1,920.39/x
  3. Step 3: Cross multiply
    7,843.49x = 11,765.16 × 1,920.39
  4. Step 4: Simplify right side
    7,843.49x = 22,593,695.61
  5. Step 5: Solve for x
    x = 22,593,695.61/7,843.49
  6. Step 6: Final answer
    x = 2,880.57

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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.