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Finding the Fourth Proportional to 8,224.71, 11,349.23 and 4,867.67

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Solution

The fourth proportional to 8,224.71, 11,349.23 and 4,867.67 is: 6,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.71 : 11,349.23 = 4,867.67 : x
  2. Step 2: Convert to fraction form
    8,224.71/11,349.23 = 4,867.67/x
  3. Step 3: Cross multiply
    8,224.71x = 11,349.23 × 4,867.67
  4. Step 4: Simplify right side
    8,224.71x = 55,244,225.31
  5. Step 5: Solve for x
    x = 55,244,225.31/8,224.71
  6. Step 6: Final answer
    x = 6,716.86

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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.