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Finding the Fourth Proportional to 6,285.66, 8,665.95 and 5,224.33

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Solution

The fourth proportional to 6,285.66, 8,665.95 and 5,224.33 is: 7,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.66 : 8,665.95 = 5,224.33 : x
  2. Step 2: Convert to fraction form
    6,285.66/8,665.95 = 5,224.33/x
  3. Step 3: Cross multiply
    6,285.66x = 8,665.95 × 5,224.33
  4. Step 4: Simplify right side
    6,285.66x = 45,273,782.56
  5. Step 5: Solve for x
    x = 45,273,782.56/6,285.66
  6. Step 6: Final answer
    x = 7,202.71

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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.