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Finding the Fourth Proportional to 8,204.63, 11,322.99 and 4,668.98

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Solution

The fourth proportional to 8,204.63, 11,322.99 and 4,668.98 is: 6,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.63 : 11,322.99 = 4,668.98 : x
  2. Step 2: Convert to fraction form
    8,204.63/11,322.99 = 4,668.98/x
  3. Step 3: Cross multiply
    8,204.63x = 11,322.99 × 4,668.98
  4. Step 4: Simplify right side
    8,204.63x = 52,866,757.24
  5. Step 5: Solve for x
    x = 52,866,757.24/8,204.63
  6. Step 6: Final answer
    x = 6,443.53

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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.