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Finding the Fourth Proportional to 7,843.02, 10,826.64 and 5,605.80

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Solution

The fourth proportional to 7,843.02, 10,826.64 and 5,605.80 is: 7,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.02 : 10,826.64 = 5,605.80 : x
  2. Step 2: Convert to fraction form
    7,843.02/10,826.64 = 5,605.80/x
  3. Step 3: Cross multiply
    7,843.02x = 10,826.64 × 5,605.80
  4. Step 4: Simplify right side
    7,843.02x = 60,691,978.51
  5. Step 5: Solve for x
    x = 60,691,978.51/7,843.02
  6. Step 6: Final answer
    x = 7,738.34

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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.