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Finding the Fourth Proportional to 8,352.33, 11,527.75 and 4,767.27

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Solution

The fourth proportional to 8,352.33, 11,527.75 and 4,767.27 is: 6,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.33 : 11,527.75 = 4,767.27 : x
  2. Step 2: Convert to fraction form
    8,352.33/11,527.75 = 4,767.27/x
  3. Step 3: Cross multiply
    8,352.33x = 11,527.75 × 4,767.27
  4. Step 4: Simplify right side
    8,352.33x = 54,955,896.74
  5. Step 5: Solve for x
    x = 54,955,896.74/8,352.33
  6. Step 6: Final answer
    x = 6,579.71

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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.