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Finding the Fourth Proportional to 7,894.64, 11,839.93 and 2,346.54

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Solution

The fourth proportional to 7,894.64, 11,839.93 and 2,346.54 is: 3,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.64 : 11,839.93 = 2,346.54 : x
  2. Step 2: Convert to fraction form
    7,894.64/11,839.93 = 2,346.54/x
  3. Step 3: Cross multiply
    7,894.64x = 11,839.93 × 2,346.54
  4. Step 4: Simplify right side
    7,894.64x = 27,782,863.48
  5. Step 5: Solve for x
    x = 27,782,863.48/7,894.64
  6. Step 6: Final answer
    x = 3,519.21

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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.