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Finding the Fourth Proportional to 8,205.36, 11,323.24 and 4,668.49

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Solution

The fourth proportional to 8,205.36, 11,323.24 and 4,668.49 is: 6,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.36 : 11,323.24 = 4,668.49 : x
  2. Step 2: Convert to fraction form
    8,205.36/11,323.24 = 4,668.49/x
  3. Step 3: Cross multiply
    8,205.36x = 11,323.24 × 4,668.49
  4. Step 4: Simplify right side
    8,205.36x = 52,862,432.71
  5. Step 5: Solve for x
    x = 52,862,432.71/8,205.36
  6. Step 6: Final answer
    x = 6,442.43

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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.