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Finding the Fourth Proportional to 8,311.98, 11,469.87 and 4,774.51

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Solution

The fourth proportional to 8,311.98, 11,469.87 and 4,774.51 is: 6,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.98 : 11,469.87 = 4,774.51 : x
  2. Step 2: Convert to fraction form
    8,311.98/11,469.87 = 4,774.51/x
  3. Step 3: Cross multiply
    8,311.98x = 11,469.87 × 4,774.51
  4. Step 4: Simplify right side
    8,311.98x = 54,763,009.01
  5. Step 5: Solve for x
    x = 54,763,009.01/8,311.98
  6. Step 6: Final answer
    x = 6,588.44

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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.