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Finding the Fourth Proportional to 7,268.92, 10,902.80 and 2,588.72

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Solution

The fourth proportional to 7,268.92, 10,902.80 and 2,588.72 is: 3,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.92 : 10,902.80 = 2,588.72 : x
  2. Step 2: Convert to fraction form
    7,268.92/10,902.80 = 2,588.72/x
  3. Step 3: Cross multiply
    7,268.92x = 10,902.80 × 2,588.72
  4. Step 4: Simplify right side
    7,268.92x = 28,224,296.42
  5. Step 5: Solve for x
    x = 28,224,296.42/7,268.92
  6. Step 6: Final answer
    x = 3,882.87

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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.