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Finding the Fourth Proportional to 11,769.96, 16,242.49 and 7,054.25

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Solution

The fourth proportional to 11,769.96, 16,242.49 and 7,054.25 is: 9,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.96 : 16,242.49 = 7,054.25 : x
  2. Step 2: Convert to fraction form
    11,769.96/16,242.49 = 7,054.25/x
  3. Step 3: Cross multiply
    11,769.96x = 16,242.49 × 7,054.25
  4. Step 4: Simplify right side
    11,769.96x = 114,578,512.69
  5. Step 5: Solve for x
    x = 114,578,512.69/11,769.96
  6. Step 6: Final answer
    x = 9,734.82

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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.