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Finding the Fourth Proportional to 10,618.09, 15,912.05 and 7,822.78

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Solution

The fourth proportional to 10,618.09, 15,912.05 and 7,822.78 is: 11,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.09 : 15,912.05 = 7,822.78 : x
  2. Step 2: Convert to fraction form
    10,618.09/15,912.05 = 7,822.78/x
  3. Step 3: Cross multiply
    10,618.09x = 15,912.05 × 7,822.78
  4. Step 4: Simplify right side
    10,618.09x = 124,476,387.60
  5. Step 5: Solve for x
    x = 124,476,387.60/10,618.09
  6. Step 6: Final answer
    x = 11,723.05

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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.