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Finding the Fourth Proportional to 7,937.77, 11,900.76 and 3,932.86

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Solution

The fourth proportional to 7,937.77, 11,900.76 and 3,932.86 is: 5,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.77 : 11,900.76 = 3,932.86 : x
  2. Step 2: Convert to fraction form
    7,937.77/11,900.76 = 3,932.86/x
  3. Step 3: Cross multiply
    7,937.77x = 11,900.76 × 3,932.86
  4. Step 4: Simplify right side
    7,937.77x = 46,804,022.97
  5. Step 5: Solve for x
    x = 46,804,022.97/7,937.77
  6. Step 6: Final answer
    x = 5,896.37

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Why These Related Problems?

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