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Finding the Fourth Proportional to 8,224.59, 11,349.77 and 4,498.59

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Solution

The fourth proportional to 8,224.59, 11,349.77 and 4,498.59 is: 6,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.59 : 11,349.77 = 4,498.59 : x
  2. Step 2: Convert to fraction form
    8,224.59/11,349.77 = 4,498.59/x
  3. Step 3: Cross multiply
    8,224.59x = 11,349.77 × 4,498.59
  4. Step 4: Simplify right side
    8,224.59x = 51,057,939.33
  5. Step 5: Solve for x
    x = 51,057,939.33/8,224.59
  6. Step 6: Final answer
    x = 6,207.96

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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.