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Finding the Fourth Proportional to 8,857.74, 13,272.42 and 6,775.22

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Solution

The fourth proportional to 8,857.74, 13,272.42 and 6,775.22 is: 10,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.74 : 13,272.42 = 6,775.22 : x
  2. Step 2: Convert to fraction form
    8,857.74/13,272.42 = 6,775.22/x
  3. Step 3: Cross multiply
    8,857.74x = 13,272.42 × 6,775.22
  4. Step 4: Simplify right side
    8,857.74x = 89,923,565.43
  5. Step 5: Solve for x
    x = 89,923,565.43/8,857.74
  6. Step 6: Final answer
    x = 10,151.98

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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.