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Finding the Fourth Proportional to 7,927.68, 11,891.52 and 3,247.77

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Solution

The fourth proportional to 7,927.68, 11,891.52 and 3,247.77 is: 4,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.68 : 11,891.52 = 3,247.77 : x
  2. Step 2: Convert to fraction form
    7,927.68/11,891.52 = 3,247.77/x
  3. Step 3: Cross multiply
    7,927.68x = 11,891.52 × 3,247.77
  4. Step 4: Simplify right side
    7,927.68x = 38,620,921.91
  5. Step 5: Solve for x
    x = 38,620,921.91/7,927.68
  6. Step 6: Final answer
    x = 4,871.66

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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.