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Finding the Fourth Proportional to 8,394, 11,584.08 and 4,668

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Solution

The fourth proportional to 8,394, 11,584.08 and 4,668 is: 6,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394 : 11,584.08 = 4,668 : x
  2. Step 2: Convert to fraction form
    8,394/11,584.08 = 4,668/x
  3. Step 3: Cross multiply
    8,394x = 11,584.08 × 4,668
  4. Step 4: Simplify right side
    8,394x = 54,074,485.44
  5. Step 5: Solve for x
    x = 54,074,485.44/8,394
  6. Step 6: Final answer
    x = 6,442.04

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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.