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Finding the Fourth Proportional to 8,394.86, 11,584.98 and 4,617.90

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Solution

The fourth proportional to 8,394.86, 11,584.98 and 4,617.90 is: 6,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.86 : 11,584.98 = 4,617.90 : x
  2. Step 2: Convert to fraction form
    8,394.86/11,584.98 = 4,617.90/x
  3. Step 3: Cross multiply
    8,394.86x = 11,584.98 × 4,617.90
  4. Step 4: Simplify right side
    8,394.86x = 53,498,279.14
  5. Step 5: Solve for x
    x = 53,498,279.14/8,394.86
  6. Step 6: Final answer
    x = 6,372.74

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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.