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Finding the Fourth Proportional to 7,924.50, 10,935.72 and 4,566.09

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Solution

The fourth proportional to 7,924.50, 10,935.72 and 4,566.09 is: 6,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.50 : 10,935.72 = 4,566.09 : x
  2. Step 2: Convert to fraction form
    7,924.50/10,935.72 = 4,566.09/x
  3. Step 3: Cross multiply
    7,924.50x = 10,935.72 × 4,566.09
  4. Step 4: Simplify right side
    7,924.50x = 49,933,481.73
  5. Step 5: Solve for x
    x = 49,933,481.73/7,924.50
  6. Step 6: Final answer
    x = 6,301.15

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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.