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Finding the Fourth Proportional to 8,311.21, 11,472.03 and 4,776.77

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Solution

The fourth proportional to 8,311.21, 11,472.03 and 4,776.77 is: 6,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.21 : 11,472.03 = 4,776.77 : x
  2. Step 2: Convert to fraction form
    8,311.21/11,472.03 = 4,776.77/x
  3. Step 3: Cross multiply
    8,311.21x = 11,472.03 × 4,776.77
  4. Step 4: Simplify right side
    8,311.21x = 54,799,277.42
  5. Step 5: Solve for x
    x = 54,799,277.42/8,311.21
  6. Step 6: Final answer
    x = 6,593.42

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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.