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Finding the Fourth Proportional to 7,209.12, 10,808.64 and 3,311.40

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Solution

The fourth proportional to 7,209.12, 10,808.64 and 3,311.40 is: 4,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.12 : 10,808.64 = 3,311.40 : x
  2. Step 2: Convert to fraction form
    7,209.12/10,808.64 = 3,311.40/x
  3. Step 3: Cross multiply
    7,209.12x = 10,808.64 × 3,311.40
  4. Step 4: Simplify right side
    7,209.12x = 35,791,730.50
  5. Step 5: Solve for x
    x = 35,791,730.50/7,209.12
  6. Step 6: Final answer
    x = 4,964.78

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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.