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Finding the Fourth Proportional to 7,667.60, 11,505.83 and 3,224.91

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Solution

The fourth proportional to 7,667.60, 11,505.83 and 3,224.91 is: 4,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.60 : 11,505.83 = 3,224.91 : x
  2. Step 2: Convert to fraction form
    7,667.60/11,505.83 = 3,224.91/x
  3. Step 3: Cross multiply
    7,667.60x = 11,505.83 × 3,224.91
  4. Step 4: Simplify right side
    7,667.60x = 37,105,266.23
  5. Step 5: Solve for x
    x = 37,105,266.23/7,667.60
  6. Step 6: Final answer
    x = 4,839.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.