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Finding the Fourth Proportional to 7,306.00, 10,082.34 and 4,162.39

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Solution

The fourth proportional to 7,306.00, 10,082.34 and 4,162.39 is: 5,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.00 : 10,082.34 = 4,162.39 : x
  2. Step 2: Convert to fraction form
    7,306.00/10,082.34 = 4,162.39/x
  3. Step 3: Cross multiply
    7,306.00x = 10,082.34 × 4,162.39
  4. Step 4: Simplify right side
    7,306.00x = 41,966,605.99
  5. Step 5: Solve for x
    x = 41,966,605.99/7,306.00
  6. Step 6: Final answer
    x = 5,744.13

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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.