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Finding the Fourth Proportional to 7,310.84, 10,964.04 and 6,141.20

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Solution

The fourth proportional to 7,310.84, 10,964.04 and 6,141.20 is: 9,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.84 : 10,964.04 = 6,141.20 : x
  2. Step 2: Convert to fraction form
    7,310.84/10,964.04 = 6,141.20/x
  3. Step 3: Cross multiply
    7,310.84x = 10,964.04 × 6,141.20
  4. Step 4: Simplify right side
    7,310.84x = 67,332,362.45
  5. Step 5: Solve for x
    x = 67,332,362.45/7,310.84
  6. Step 6: Final answer
    x = 9,209.94

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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.