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Finding the Fourth Proportional to 8,022.59, 11,074.22 and 7,181.78

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Solution

The fourth proportional to 8,022.59, 11,074.22 and 7,181.78 is: 9,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.59 : 11,074.22 = 7,181.78 : x
  2. Step 2: Convert to fraction form
    8,022.59/11,074.22 = 7,181.78/x
  3. Step 3: Cross multiply
    8,022.59x = 11,074.22 × 7,181.78
  4. Step 4: Simplify right side
    8,022.59x = 79,532,611.71
  5. Step 5: Solve for x
    x = 79,532,611.71/8,022.59
  6. Step 6: Final answer
    x = 9,913.58

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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.