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Finding the Fourth Proportional to 8,267.62, 11,406.50 and 4,728.30

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Solution

The fourth proportional to 8,267.62, 11,406.50 and 4,728.30 is: 6,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.62 : 11,406.50 = 4,728.30 : x
  2. Step 2: Convert to fraction form
    8,267.62/11,406.50 = 4,728.30/x
  3. Step 3: Cross multiply
    8,267.62x = 11,406.50 × 4,728.30
  4. Step 4: Simplify right side
    8,267.62x = 53,933,353.95
  5. Step 5: Solve for x
    x = 53,933,353.95/8,267.62
  6. Step 6: Final answer
    x = 6,523.44

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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.