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Finding the Fourth Proportional to 7,846.64, 10,835.39 and 5,853.73

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Solution

The fourth proportional to 7,846.64, 10,835.39 and 5,853.73 is: 8,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.64 : 10,835.39 = 5,853.73 : x
  2. Step 2: Convert to fraction form
    7,846.64/10,835.39 = 5,853.73/x
  3. Step 3: Cross multiply
    7,846.64x = 10,835.39 × 5,853.73
  4. Step 4: Simplify right side
    7,846.64x = 63,427,418.24
  5. Step 5: Solve for x
    x = 63,427,418.24/7,846.64
  6. Step 6: Final answer
    x = 8,083.39

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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.