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Finding the Fourth Proportional to 11,635.65, 17,452.26 and 6,086.76

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Solution

The fourth proportional to 11,635.65, 17,452.26 and 6,086.76 is: 9,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.65 : 17,452.26 = 6,086.76 : x
  2. Step 2: Convert to fraction form
    11,635.65/17,452.26 = 6,086.76/x
  3. Step 3: Cross multiply
    11,635.65x = 17,452.26 × 6,086.76
  4. Step 4: Simplify right side
    11,635.65x = 106,227,718.08
  5. Step 5: Solve for x
    x = 106,227,718.08/11,635.65
  6. Step 6: Final answer
    x = 9,129.50

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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.