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Finding the Fourth Proportional to 10,806.68, 16,173.36 and 6,649.31

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Solution

The fourth proportional to 10,806.68, 16,173.36 and 6,649.31 is: 9,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.68 : 16,173.36 = 6,649.31 : x
  2. Step 2: Convert to fraction form
    10,806.68/16,173.36 = 6,649.31/x
  3. Step 3: Cross multiply
    10,806.68x = 16,173.36 × 6,649.31
  4. Step 4: Simplify right side
    10,806.68x = 107,541,603.51
  5. Step 5: Solve for x
    x = 107,541,603.51/10,806.68
  6. Step 6: Final answer
    x = 9,951.41

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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.