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Finding the Fourth Proportional to 7,160.50, 9,882.57 and 4,367.62

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Solution

The fourth proportional to 7,160.50, 9,882.57 and 4,367.62 is: 6,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.50 : 9,882.57 = 4,367.62 : x
  2. Step 2: Convert to fraction form
    7,160.50/9,882.57 = 4,367.62/x
  3. Step 3: Cross multiply
    7,160.50x = 9,882.57 × 4,367.62
  4. Step 4: Simplify right side
    7,160.50x = 43,163,310.38
  5. Step 5: Solve for x
    x = 43,163,310.38/7,160.50
  6. Step 6: Final answer
    x = 6,027.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.