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Finding the Fourth Proportional to 7,168.34, 10,742.78 and 3,264.14

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Solution

The fourth proportional to 7,168.34, 10,742.78 and 3,264.14 is: 4,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.34 : 10,742.78 = 3,264.14 : x
  2. Step 2: Convert to fraction form
    7,168.34/10,742.78 = 3,264.14/x
  3. Step 3: Cross multiply
    7,168.34x = 10,742.78 × 3,264.14
  4. Step 4: Simplify right side
    7,168.34x = 35,065,937.91
  5. Step 5: Solve for x
    x = 35,065,937.91/7,168.34
  6. Step 6: Final answer
    x = 4,891.78

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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.