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Finding the Fourth Proportional to 7,261.34, 10,892.01 and 2,882.48

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Solution

The fourth proportional to 7,261.34, 10,892.01 and 2,882.48 is: 4,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.34 : 10,892.01 = 2,882.48 : x
  2. Step 2: Convert to fraction form
    7,261.34/10,892.01 = 2,882.48/x
  3. Step 3: Cross multiply
    7,261.34x = 10,892.01 × 2,882.48
  4. Step 4: Simplify right side
    7,261.34x = 31,396,000.98
  5. Step 5: Solve for x
    x = 31,396,000.98/7,261.34
  6. Step 6: Final answer
    x = 4,323.72

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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.