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Finding the Fourth Proportional to 8,134.98, 11,221.93 and 4,949.25

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Solution

The fourth proportional to 8,134.98, 11,221.93 and 4,949.25 is: 6,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.98 : 11,221.93 = 4,949.25 : x
  2. Step 2: Convert to fraction form
    8,134.98/11,221.93 = 4,949.25/x
  3. Step 3: Cross multiply
    8,134.98x = 11,221.93 × 4,949.25
  4. Step 4: Simplify right side
    8,134.98x = 55,540,143.24
  5. Step 5: Solve for x
    x = 55,540,143.24/8,134.98
  6. Step 6: Final answer
    x = 6,827.32

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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.