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Finding the Fourth Proportional to 7,966.28, 10,992.69 and 4,608.42

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Solution

The fourth proportional to 7,966.28, 10,992.69 and 4,608.42 is: 6,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.28 : 10,992.69 = 4,608.42 : x
  2. Step 2: Convert to fraction form
    7,966.28/10,992.69 = 4,608.42/x
  3. Step 3: Cross multiply
    7,966.28x = 10,992.69 × 4,608.42
  4. Step 4: Simplify right side
    7,966.28x = 50,658,932.45
  5. Step 5: Solve for x
    x = 50,658,932.45/7,966.28
  6. Step 6: Final answer
    x = 6,359.17

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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.