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Finding the Fourth Proportional to 7,682.10, 10,601.26 and 4,324.92

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Solution

The fourth proportional to 7,682.10, 10,601.26 and 4,324.92 is: 5,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.10 : 10,601.26 = 4,324.92 : x
  2. Step 2: Convert to fraction form
    7,682.10/10,601.26 = 4,324.92/x
  3. Step 3: Cross multiply
    7,682.10x = 10,601.26 × 4,324.92
  4. Step 4: Simplify right side
    7,682.10x = 45,849,601.40
  5. Step 5: Solve for x
    x = 45,849,601.40/7,682.10
  6. Step 6: Final answer
    x = 5,968.37

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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.