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Finding the Fourth Proportional to 8,204.74, 12,307.80 and 3,524.87

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Solution

The fourth proportional to 8,204.74, 12,307.80 and 3,524.87 is: 5,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.74 : 12,307.80 = 3,524.87 : x
  2. Step 2: Convert to fraction form
    8,204.74/12,307.80 = 3,524.87/x
  3. Step 3: Cross multiply
    8,204.74x = 12,307.80 × 3,524.87
  4. Step 4: Simplify right side
    8,204.74x = 43,383,349.91
  5. Step 5: Solve for x
    x = 43,383,349.91/8,204.74
  6. Step 6: Final answer
    x = 5,287.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.