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Finding the Fourth Proportional to 7,306.50, 10,082.98 and 4,164.52

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Solution

The fourth proportional to 7,306.50, 10,082.98 and 4,164.52 is: 5,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.50 : 10,082.98 = 4,164.52 : x
  2. Step 2: Convert to fraction form
    7,306.50/10,082.98 = 4,164.52/x
  3. Step 3: Cross multiply
    7,306.50x = 10,082.98 × 4,164.52
  4. Step 4: Simplify right side
    7,306.50x = 41,990,771.87
  5. Step 5: Solve for x
    x = 41,990,771.87/7,306.50
  6. Step 6: Final answer
    x = 5,747.04

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