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Finding the Fourth Proportional to 6,755.10, 10,133.46 and 2,859

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Solution

The fourth proportional to 6,755.10, 10,133.46 and 2,859 is: 4,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.10 : 10,133.46 = 2,859 : x
  2. Step 2: Convert to fraction form
    6,755.10/10,133.46 = 2,859/x
  3. Step 3: Cross multiply
    6,755.10x = 10,133.46 × 2,859
  4. Step 4: Simplify right side
    6,755.10x = 28,971,562.14
  5. Step 5: Solve for x
    x = 28,971,562.14/6,755.10
  6. Step 6: Final answer
    x = 4,288.84

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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.