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Finding the Fourth Proportional to 10,806.08, 14,912.03 and 6,614.33

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Solution

The fourth proportional to 10,806.08, 14,912.03 and 6,614.33 is: 9,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.08 : 14,912.03 = 6,614.33 : x
  2. Step 2: Convert to fraction form
    10,806.08/14,912.03 = 6,614.33/x
  3. Step 3: Cross multiply
    10,806.08x = 14,912.03 × 6,614.33
  4. Step 4: Simplify right side
    10,806.08x = 98,633,029.37
  5. Step 5: Solve for x
    x = 98,633,029.37/10,806.08
  6. Step 6: Final answer
    x = 9,127.55

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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.