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Finding the Fourth Proportional to 7,843.24, 10,822.50 and 4,306.60

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Solution

The fourth proportional to 7,843.24, 10,822.50 and 4,306.60 is: 5,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.24 : 10,822.50 = 4,306.60 : x
  2. Step 2: Convert to fraction form
    7,843.24/10,822.50 = 4,306.60/x
  3. Step 3: Cross multiply
    7,843.24x = 10,822.50 × 4,306.60
  4. Step 4: Simplify right side
    7,843.24x = 46,608,178.50
  5. Step 5: Solve for x
    x = 46,608,178.50/7,843.24
  6. Step 6: Final answer
    x = 5,942.46

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