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Finding the Fourth Proportional to 7,894.52, 10,894.38 and 4,357.73

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Solution

The fourth proportional to 7,894.52, 10,894.38 and 4,357.73 is: 6,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.52 : 10,894.38 = 4,357.73 : x
  2. Step 2: Convert to fraction form
    7,894.52/10,894.38 = 4,357.73/x
  3. Step 3: Cross multiply
    7,894.52x = 10,894.38 × 4,357.73
  4. Step 4: Simplify right side
    7,894.52x = 47,474,712.09
  5. Step 5: Solve for x
    x = 47,474,712.09/7,894.52
  6. Step 6: Final answer
    x = 6,013.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.