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Finding the Fourth Proportional to 7,865.28, 11,797.89 and 3,966.93

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Solution

The fourth proportional to 7,865.28, 11,797.89 and 3,966.93 is: 5,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.28 : 11,797.89 = 3,966.93 : x
  2. Step 2: Convert to fraction form
    7,865.28/11,797.89 = 3,966.93/x
  3. Step 3: Cross multiply
    7,865.28x = 11,797.89 × 3,966.93
  4. Step 4: Simplify right side
    7,865.28x = 46,801,403.78
  5. Step 5: Solve for x
    x = 46,801,403.78/7,865.28
  6. Step 6: Final answer
    x = 5,950.38

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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.