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Finding the Fourth Proportional to 6,944.68, 10,415.90 and 2,564.20

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Solution

The fourth proportional to 6,944.68, 10,415.90 and 2,564.20 is: 3,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.68 : 10,415.90 = 2,564.20 : x
  2. Step 2: Convert to fraction form
    6,944.68/10,415.90 = 2,564.20/x
  3. Step 3: Cross multiply
    6,944.68x = 10,415.90 × 2,564.20
  4. Step 4: Simplify right side
    6,944.68x = 26,708,450.78
  5. Step 5: Solve for x
    x = 26,708,450.78/6,944.68
  6. Step 6: Final answer
    x = 3,845.89

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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.