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Finding the Fourth Proportional to 8,204.90, 11,323.19 and 4,668.64

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Solution

The fourth proportional to 8,204.90, 11,323.19 and 4,668.64 is: 6,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.90 : 11,323.19 = 4,668.64 : x
  2. Step 2: Convert to fraction form
    8,204.90/11,323.19 = 4,668.64/x
  3. Step 3: Cross multiply
    8,204.90x = 11,323.19 × 4,668.64
  4. Step 4: Simplify right side
    8,204.90x = 52,863,881.13
  5. Step 5: Solve for x
    x = 52,863,881.13/8,204.90
  6. Step 6: Final answer
    x = 6,442.97

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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.