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Finding the Fourth Proportional to 8,197.88, 11,311.25 and 4,840.83

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Solution

The fourth proportional to 8,197.88, 11,311.25 and 4,840.83 is: 6,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.88 : 11,311.25 = 4,840.83 : x
  2. Step 2: Convert to fraction form
    8,197.88/11,311.25 = 4,840.83/x
  3. Step 3: Cross multiply
    8,197.88x = 11,311.25 × 4,840.83
  4. Step 4: Simplify right side
    8,197.88x = 54,755,814.13
  5. Step 5: Solve for x
    x = 54,755,814.13/8,197.88
  6. Step 6: Final answer
    x = 6,679.27

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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.