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Finding the Fourth Proportional to 7,306.92, 10,964.70 and 2,693.16

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Solution

The fourth proportional to 7,306.92, 10,964.70 and 2,693.16 is: 4,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.92 : 10,964.70 = 2,693.16 : x
  2. Step 2: Convert to fraction form
    7,306.92/10,964.70 = 2,693.16/x
  3. Step 3: Cross multiply
    7,306.92x = 10,964.70 × 2,693.16
  4. Step 4: Simplify right side
    7,306.92x = 29,529,691.45
  5. Step 5: Solve for x
    x = 29,529,691.45/7,306.92
  6. Step 6: Final answer
    x = 4,041.33

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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.