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Finding the Fourth Proportional to 7,966.36, 10,991.84 and 4,822.48

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Solution

The fourth proportional to 7,966.36, 10,991.84 and 4,822.48 is: 6,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.36 : 10,991.84 = 4,822.48 : x
  2. Step 2: Convert to fraction form
    7,966.36/10,991.84 = 4,822.48/x
  3. Step 3: Cross multiply
    7,966.36x = 10,991.84 × 4,822.48
  4. Step 4: Simplify right side
    7,966.36x = 53,007,928.56
  5. Step 5: Solve for x
    x = 53,007,928.56/7,966.36
  6. Step 6: Final answer
    x = 6,653.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.