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Finding the Fourth Proportional to 11,742.57, 16,211.75 and 7,767.09

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Solution

The fourth proportional to 11,742.57, 16,211.75 and 7,767.09 is: 10,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.57 : 16,211.75 = 7,767.09 : x
  2. Step 2: Convert to fraction form
    11,742.57/16,211.75 = 7,767.09/x
  3. Step 3: Cross multiply
    11,742.57x = 16,211.75 × 7,767.09
  4. Step 4: Simplify right side
    11,742.57x = 125,918,082.47
  5. Step 5: Solve for x
    x = 125,918,082.47/11,742.57
  6. Step 6: Final answer
    x = 10,723.21

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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.