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Finding the Fourth Proportional to 11,756.70, 16,224.96 and 7,770.89

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Solution

The fourth proportional to 11,756.70, 16,224.96 and 7,770.89 is: 10,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.70 : 16,224.96 = 7,770.89 : x
  2. Step 2: Convert to fraction form
    11,756.70/16,224.96 = 7,770.89/x
  3. Step 3: Cross multiply
    11,756.70x = 16,224.96 × 7,770.89
  4. Step 4: Simplify right side
    11,756.70x = 126,082,298.29
  5. Step 5: Solve for x
    x = 126,082,298.29/11,756.70
  6. Step 6: Final answer
    x = 10,724.29

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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.