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Finding the Fourth Proportional to 7,311.34, 10,967.98 and 2,566.37

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Solution

The fourth proportional to 7,311.34, 10,967.98 and 2,566.37 is: 3,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.34 : 10,967.98 = 2,566.37 : x
  2. Step 2: Convert to fraction form
    7,311.34/10,967.98 = 2,566.37/x
  3. Step 3: Cross multiply
    7,311.34x = 10,967.98 × 2,566.37
  4. Step 4: Simplify right side
    7,311.34x = 28,147,839.99
  5. Step 5: Solve for x
    x = 28,147,839.99/7,311.34
  6. Step 6: Final answer
    x = 3,849.89

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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.