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Finding the Fourth Proportional to 8,223.74, 11,349.94 and 4,687.28

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Solution

The fourth proportional to 8,223.74, 11,349.94 and 4,687.28 is: 6,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.74 : 11,349.94 = 4,687.28 : x
  2. Step 2: Convert to fraction form
    8,223.74/11,349.94 = 4,687.28/x
  3. Step 3: Cross multiply
    8,223.74x = 11,349.94 × 4,687.28
  4. Step 4: Simplify right side
    8,223.74x = 53,200,346.76
  5. Step 5: Solve for x
    x = 53,200,346.76/8,223.74
  6. Step 6: Final answer
    x = 6,469.12

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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.