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Finding the Fourth Proportional to 7,231.77, 10,846.85 and 4,906.71

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Solution

The fourth proportional to 7,231.77, 10,846.85 and 4,906.71 is: 7,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.77 : 10,846.85 = 4,906.71 : x
  2. Step 2: Convert to fraction form
    7,231.77/10,846.85 = 4,906.71/x
  3. Step 3: Cross multiply
    7,231.77x = 10,846.85 × 4,906.71
  4. Step 4: Simplify right side
    7,231.77x = 53,222,322.83
  5. Step 5: Solve for x
    x = 53,222,322.83/7,231.77
  6. Step 6: Final answer
    x = 7,359.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.