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Finding the Fourth Proportional to 8,381.50, 11,482.74 and 8,066.27

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Solution

The fourth proportional to 8,381.50, 11,482.74 and 8,066.27 is: 11,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.50 : 11,482.74 = 8,066.27 : x
  2. Step 2: Convert to fraction form
    8,381.50/11,482.74 = 8,066.27/x
  3. Step 3: Cross multiply
    8,381.50x = 11,482.74 × 8,066.27
  4. Step 4: Simplify right side
    8,381.50x = 92,622,909.89
  5. Step 5: Solve for x
    x = 92,622,909.89/8,381.50
  6. Step 6: Final answer
    x = 11,050.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.