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Finding the Fourth Proportional to 7,847.37, 10,829.28 and 4,662.23

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Solution

The fourth proportional to 7,847.37, 10,829.28 and 4,662.23 is: 6,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.37 : 10,829.28 = 4,662.23 : x
  2. Step 2: Convert to fraction form
    7,847.37/10,829.28 = 4,662.23/x
  3. Step 3: Cross multiply
    7,847.37x = 10,829.28 × 4,662.23
  4. Step 4: Simplify right side
    7,847.37x = 50,488,539.95
  5. Step 5: Solve for x
    x = 50,488,539.95/7,847.37
  6. Step 6: Final answer
    x = 6,433.82

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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.