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Finding the Fourth Proportional to 8,499.25, 11,729.69 and 4,773.97

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Solution

The fourth proportional to 8,499.25, 11,729.69 and 4,773.97 is: 6,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.25 : 11,729.69 = 4,773.97 : x
  2. Step 2: Convert to fraction form
    8,499.25/11,729.69 = 4,773.97/x
  3. Step 3: Cross multiply
    8,499.25x = 11,729.69 × 4,773.97
  4. Step 4: Simplify right side
    8,499.25x = 55,997,188.17
  5. Step 5: Solve for x
    x = 55,997,188.17/8,499.25
  6. Step 6: Final answer
    x = 6,588.49

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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.