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Finding the Fourth Proportional to 6,777.57, 10,165.32 and 1,847.61

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Solution

The fourth proportional to 6,777.57, 10,165.32 and 1,847.61 is: 2,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.57 : 10,165.32 = 1,847.61 : x
  2. Step 2: Convert to fraction form
    6,777.57/10,165.32 = 1,847.61/x
  3. Step 3: Cross multiply
    6,777.57x = 10,165.32 × 1,847.61
  4. Step 4: Simplify right side
    6,777.57x = 18,781,486.82
  5. Step 5: Solve for x
    x = 18,781,486.82/6,777.57
  6. Step 6: Final answer
    x = 2,771.12

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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.