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Finding the Fourth Proportional to 8,394.52, 11,584.20 and 4,668.52

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Solution

The fourth proportional to 8,394.52, 11,584.20 and 4,668.52 is: 6,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.52 : 11,584.20 = 4,668.52 : x
  2. Step 2: Convert to fraction form
    8,394.52/11,584.20 = 4,668.52/x
  3. Step 3: Cross multiply
    8,394.52x = 11,584.20 × 4,668.52
  4. Step 4: Simplify right side
    8,394.52x = 54,081,069.38
  5. Step 5: Solve for x
    x = 54,081,069.38/8,394.52
  6. Step 6: Final answer
    x = 6,442.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.