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Finding the Fourth Proportional to 7,311.71, 10,967.30 and 2,381.22

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Solution

The fourth proportional to 7,311.71, 10,967.30 and 2,381.22 is: 3,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.71 : 10,967.30 = 2,381.22 : x
  2. Step 2: Convert to fraction form
    7,311.71/10,967.30 = 2,381.22/x
  3. Step 3: Cross multiply
    7,311.71x = 10,967.30 × 2,381.22
  4. Step 4: Simplify right side
    7,311.71x = 26,115,554.11
  5. Step 5: Solve for x
    x = 26,115,554.11/7,311.71
  6. Step 6: Final answer
    x = 3,571.74

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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.