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Finding the Fourth Proportional to 7,311.68, 10,967.62 and 2,117.56

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Solution

The fourth proportional to 7,311.68, 10,967.62 and 2,117.56 is: 3,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.68 : 10,967.62 = 2,117.56 : x
  2. Step 2: Convert to fraction form
    7,311.68/10,967.62 = 2,117.56/x
  3. Step 3: Cross multiply
    7,311.68x = 10,967.62 × 2,117.56
  4. Step 4: Simplify right side
    7,311.68x = 23,224,593.41
  5. Step 5: Solve for x
    x = 23,224,593.41/7,311.68
  6. Step 6: Final answer
    x = 3,176.37

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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.