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Finding the Fourth Proportional to 7,182.64, 10,767.44 and 2,564.56

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Solution

The fourth proportional to 7,182.64, 10,767.44 and 2,564.56 is: 3,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.64 : 10,767.44 = 2,564.56 : x
  2. Step 2: Convert to fraction form
    7,182.64/10,767.44 = 2,564.56/x
  3. Step 3: Cross multiply
    7,182.64x = 10,767.44 × 2,564.56
  4. Step 4: Simplify right side
    7,182.64x = 27,613,745.93
  5. Step 5: Solve for x
    x = 27,613,745.93/7,182.64
  6. Step 6: Final answer
    x = 3,844.51

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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.