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Finding the Fourth Proportional to 8,224.36, 11,349.90 and 4,498.36

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Solution

The fourth proportional to 8,224.36, 11,349.90 and 4,498.36 is: 6,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.36 : 11,349.90 = 4,498.36 : x
  2. Step 2: Convert to fraction form
    8,224.36/11,349.90 = 4,498.36/x
  3. Step 3: Cross multiply
    8,224.36x = 11,349.90 × 4,498.36
  4. Step 4: Simplify right side
    8,224.36x = 51,055,936.16
  5. Step 5: Solve for x
    x = 51,055,936.16/8,224.36
  6. Step 6: Final answer
    x = 6,207.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.