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Finding the Fourth Proportional to 7,182.68, 10,765.06 and 2,560.60

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Solution

The fourth proportional to 7,182.68, 10,765.06 and 2,560.60 is: 3,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.68 : 10,765.06 = 2,560.60 : x
  2. Step 2: Convert to fraction form
    7,182.68/10,765.06 = 2,560.60/x
  3. Step 3: Cross multiply
    7,182.68x = 10,765.06 × 2,560.60
  4. Step 4: Simplify right side
    7,182.68x = 27,565,012.64
  5. Step 5: Solve for x
    x = 27,565,012.64/7,182.68
  6. Step 6: Final answer
    x = 3,837.71

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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.