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Finding the Fourth Proportional to 8,667.37, 11,956.71 and 5,436.64

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Solution

The fourth proportional to 8,667.37, 11,956.71 and 5,436.64 is: 7,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.37 : 11,956.71 = 5,436.64 : x
  2. Step 2: Convert to fraction form
    8,667.37/11,956.71 = 5,436.64/x
  3. Step 3: Cross multiply
    8,667.37x = 11,956.71 × 5,436.64
  4. Step 4: Simplify right side
    8,667.37x = 65,004,327.85
  5. Step 5: Solve for x
    x = 65,004,327.85/8,667.37
  6. Step 6: Final answer
    x = 7,499.89

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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.