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Finding the Fourth Proportional to 7,966.54, 11,944.86 and 6,936.22

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Solution

The fourth proportional to 7,966.54, 11,944.86 and 6,936.22 is: 10,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.54 : 11,944.86 = 6,936.22 : x
  2. Step 2: Convert to fraction form
    7,966.54/11,944.86 = 6,936.22/x
  3. Step 3: Cross multiply
    7,966.54x = 11,944.86 × 6,936.22
  4. Step 4: Simplify right side
    7,966.54x = 82,852,176.83
  5. Step 5: Solve for x
    x = 82,852,176.83/7,966.54
  6. Step 6: Final answer
    x = 10,400.02

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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.