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Finding the Fourth Proportional to 8,204.40, 11,323.02 and 4,668.24

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Solution

The fourth proportional to 8,204.40, 11,323.02 and 4,668.24 is: 6,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.40 : 11,323.02 = 4,668.24 : x
  2. Step 2: Convert to fraction form
    8,204.40/11,323.02 = 4,668.24/x
  3. Step 3: Cross multiply
    8,204.40x = 11,323.02 × 4,668.24
  4. Step 4: Simplify right side
    8,204.40x = 52,858,574.88
  5. Step 5: Solve for x
    x = 52,858,574.88/8,204.40
  6. Step 6: Final answer
    x = 6,442.71

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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.