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Finding the Fourth Proportional to 8,229.36, 11,356.74 and 4,693.44

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Solution

The fourth proportional to 8,229.36, 11,356.74 and 4,693.44 is: 6,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.36 : 11,356.74 = 4,693.44 : x
  2. Step 2: Convert to fraction form
    8,229.36/11,356.74 = 4,693.44/x
  3. Step 3: Cross multiply
    8,229.36x = 11,356.74 × 4,693.44
  4. Step 4: Simplify right side
    8,229.36x = 53,302,177.79
  5. Step 5: Solve for x
    x = 53,302,177.79/8,229.36
  6. Step 6: Final answer
    x = 6,477.07

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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.