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Finding the Fourth Proportional to 10,707.92, 14,776.96 and 5,991.84

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Solution

The fourth proportional to 10,707.92, 14,776.96 and 5,991.84 is: 8,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.92 : 14,776.96 = 5,991.84 : x
  2. Step 2: Convert to fraction form
    10,707.92/14,776.96 = 5,991.84/x
  3. Step 3: Cross multiply
    10,707.92x = 14,776.96 × 5,991.84
  4. Step 4: Simplify right side
    10,707.92x = 88,541,180.01
  5. Step 5: Solve for x
    x = 88,541,180.01/10,707.92
  6. Step 6: Final answer
    x = 8,268.76

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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.