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Finding the Fourth Proportional to 7,311.42, 10,967.04 and 3,154.35

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Solution

The fourth proportional to 7,311.42, 10,967.04 and 3,154.35 is: 4,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.42 : 10,967.04 = 3,154.35 : x
  2. Step 2: Convert to fraction form
    7,311.42/10,967.04 = 3,154.35/x
  3. Step 3: Cross multiply
    7,311.42x = 10,967.04 × 3,154.35
  4. Step 4: Simplify right side
    7,311.42x = 34,593,882.62
  5. Step 5: Solve for x
    x = 34,593,882.62/7,311.42
  6. Step 6: Final answer
    x = 4,731.49

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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.