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Finding the Fourth Proportional to 10,144.80, 13,946.07 and 8,723.28

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Solution

The fourth proportional to 10,144.80, 13,946.07 and 8,723.28 is: 11,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.80 : 13,946.07 = 8,723.28 : x
  2. Step 2: Convert to fraction form
    10,144.80/13,946.07 = 8,723.28/x
  3. Step 3: Cross multiply
    10,144.80x = 13,946.07 × 8,723.28
  4. Step 4: Simplify right side
    10,144.80x = 121,655,473.51
  5. Step 5: Solve for x
    x = 121,655,473.51/10,144.80
  6. Step 6: Final answer
    x = 11,991.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.