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Finding the Fourth Proportional to 8,224.29, 11,349.47 and 4,687.54

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Solution

The fourth proportional to 8,224.29, 11,349.47 and 4,687.54 is: 6,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.29 : 11,349.47 = 4,687.54 : x
  2. Step 2: Convert to fraction form
    8,224.29/11,349.47 = 4,687.54/x
  3. Step 3: Cross multiply
    8,224.29x = 11,349.47 × 4,687.54
  4. Step 4: Simplify right side
    8,224.29x = 53,201,077.95
  5. Step 5: Solve for x
    x = 53,201,077.95/8,224.29
  6. Step 6: Final answer
    x = 6,468.77

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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.