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Finding the Fourth Proportional to 10,998.63, 15,177.92 and 6,282.27

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Solution

The fourth proportional to 10,998.63, 15,177.92 and 6,282.27 is: 8,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.63 : 15,177.92 = 6,282.27 : x
  2. Step 2: Convert to fraction form
    10,998.63/15,177.92 = 6,282.27/x
  3. Step 3: Cross multiply
    10,998.63x = 15,177.92 × 6,282.27
  4. Step 4: Simplify right side
    10,998.63x = 95,351,760.07
  5. Step 5: Solve for x
    x = 95,351,760.07/10,998.63
  6. Step 6: Final answer
    x = 8,669.42

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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.