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Finding the Fourth Proportional to 8,224.50, 11,349.81 and 4,498.58

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Solution

The fourth proportional to 8,224.50, 11,349.81 and 4,498.58 is: 6,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.50 : 11,349.81 = 4,498.58 : x
  2. Step 2: Convert to fraction form
    8,224.50/11,349.81 = 4,498.58/x
  3. Step 3: Cross multiply
    8,224.50x = 11,349.81 × 4,498.58
  4. Step 4: Simplify right side
    8,224.50x = 51,058,028.27
  5. Step 5: Solve for x
    x = 51,058,028.27/8,224.50
  6. Step 6: Final answer
    x = 6,208.04

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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.