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Finding the Fourth Proportional to 7,921.73, 10,934.42 and 4,566.78

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Solution

The fourth proportional to 7,921.73, 10,934.42 and 4,566.78 is: 6,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.73 : 10,934.42 = 4,566.78 : x
  2. Step 2: Convert to fraction form
    7,921.73/10,934.42 = 4,566.78/x
  3. Step 3: Cross multiply
    7,921.73x = 10,934.42 × 4,566.78
  4. Step 4: Simplify right side
    7,921.73x = 49,935,067.73
  5. Step 5: Solve for x
    x = 49,935,067.73/7,921.73
  6. Step 6: Final answer
    x = 6,303.56

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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.