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Finding the Fourth Proportional to 10,806.51, 14,906.97 and 6,329.41

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Solution

The fourth proportional to 10,806.51, 14,906.97 and 6,329.41 is: 8,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.51 : 14,906.97 = 6,329.41 : x
  2. Step 2: Convert to fraction form
    10,806.51/14,906.97 = 6,329.41/x
  3. Step 3: Cross multiply
    10,806.51x = 14,906.97 × 6,329.41
  4. Step 4: Simplify right side
    10,806.51x = 94,352,287.72
  5. Step 5: Solve for x
    x = 94,352,287.72/10,806.51
  6. Step 6: Final answer
    x = 8,731.06

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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.