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Finding the Fourth Proportional to 11,756.14, 16,224.22 and 7,770.26

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Solution

The fourth proportional to 11,756.14, 16,224.22 and 7,770.26 is: 10,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.14 : 16,224.22 = 7,770.26 : x
  2. Step 2: Convert to fraction form
    11,756.14/16,224.22 = 7,770.26/x
  3. Step 3: Cross multiply
    11,756.14x = 16,224.22 × 7,770.26
  4. Step 4: Simplify right side
    11,756.14x = 126,066,407.70
  5. Step 5: Solve for x
    x = 126,066,407.70/11,756.14
  6. Step 6: Final answer
    x = 10,723.45

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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.