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Finding the Fourth Proportional to 7,835.90, 11,754.24 and 3,935.74

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Solution

The fourth proportional to 7,835.90, 11,754.24 and 3,935.74 is: 5,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.90 : 11,754.24 = 3,935.74 : x
  2. Step 2: Convert to fraction form
    7,835.90/11,754.24 = 3,935.74/x
  3. Step 3: Cross multiply
    7,835.90x = 11,754.24 × 3,935.74
  4. Step 4: Simplify right side
    7,835.90x = 46,261,632.54
  5. Step 5: Solve for x
    x = 46,261,632.54/7,835.90
  6. Step 6: Final answer
    x = 5,903.81

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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.