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Finding the Fourth Proportional to 7,364.72, 11,041.68 and 3,467

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Solution

The fourth proportional to 7,364.72, 11,041.68 and 3,467 is: 5,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.72 : 11,041.68 = 3,467 : x
  2. Step 2: Convert to fraction form
    7,364.72/11,041.68 = 3,467/x
  3. Step 3: Cross multiply
    7,364.72x = 11,041.68 × 3,467
  4. Step 4: Simplify right side
    7,364.72x = 38,281,504.56
  5. Step 5: Solve for x
    x = 38,281,504.56/7,364.72
  6. Step 6: Final answer
    x = 5,197.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.