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Finding the Fourth Proportional to 8,165.86, 11,266.14 and 5,647.06

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Solution

The fourth proportional to 8,165.86, 11,266.14 and 5,647.06 is: 7,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.86 : 11,266.14 = 5,647.06 : x
  2. Step 2: Convert to fraction form
    8,165.86/11,266.14 = 5,647.06/x
  3. Step 3: Cross multiply
    8,165.86x = 11,266.14 × 5,647.06
  4. Step 4: Simplify right side
    8,165.86x = 63,620,568.55
  5. Step 5: Solve for x
    x = 63,620,568.55/8,165.86
  6. Step 6: Final answer
    x = 7,791.04

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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.