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Finding the Fourth Proportional to 8,184.70, 11,297.37 and 4,827.25

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Solution

The fourth proportional to 8,184.70, 11,297.37 and 4,827.25 is: 6,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.70 : 11,297.37 = 4,827.25 : x
  2. Step 2: Convert to fraction form
    8,184.70/11,297.37 = 4,827.25/x
  3. Step 3: Cross multiply
    8,184.70x = 11,297.37 × 4,827.25
  4. Step 4: Simplify right side
    8,184.70x = 54,535,229.33
  5. Step 5: Solve for x
    x = 54,535,229.33/8,184.70
  6. Step 6: Final answer
    x = 6,663.07

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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.