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Finding the Fourth Proportional to 8,441.46, 11,624.04 and 6,667.56

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Solution

The fourth proportional to 8,441.46, 11,624.04 and 6,667.56 is: 9,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.46 : 11,624.04 = 6,667.56 : x
  2. Step 2: Convert to fraction form
    8,441.46/11,624.04 = 6,667.56/x
  3. Step 3: Cross multiply
    8,441.46x = 11,624.04 × 6,667.56
  4. Step 4: Simplify right side
    8,441.46x = 77,503,984.14
  5. Step 5: Solve for x
    x = 77,503,984.14/8,441.46
  6. Step 6: Final answer
    x = 9,181.35

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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.