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Finding the Fourth Proportional to 8,524.89, 12,773.43 and 5,231.03

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Solution

The fourth proportional to 8,524.89, 12,773.43 and 5,231.03 is: 7,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.89 : 12,773.43 = 5,231.03 : x
  2. Step 2: Convert to fraction form
    8,524.89/12,773.43 = 5,231.03/x
  3. Step 3: Cross multiply
    8,524.89x = 12,773.43 × 5,231.03
  4. Step 4: Simplify right side
    8,524.89x = 66,818,131.67
  5. Step 5: Solve for x
    x = 66,818,131.67/8,524.89
  6. Step 6: Final answer
    x = 7,838.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.