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Finding the Fourth Proportional to 8,667.96, 11,964.84 and 5,131.16

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Solution

The fourth proportional to 8,667.96, 11,964.84 and 5,131.16 is: 7,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.96 : 11,964.84 = 5,131.16 : x
  2. Step 2: Convert to fraction form
    8,667.96/11,964.84 = 5,131.16/x
  3. Step 3: Cross multiply
    8,667.96x = 11,964.84 × 5,131.16
  4. Step 4: Simplify right side
    8,667.96x = 61,393,508.41
  5. Step 5: Solve for x
    x = 61,393,508.41/8,667.96
  6. Step 6: Final answer
    x = 7,082.81

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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.