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Finding the Fourth Proportional to 11,601.01, 17,403.44 and 3,808

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Solution

The fourth proportional to 11,601.01, 17,403.44 and 3,808 is: 5,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.01 : 17,403.44 = 3,808 : x
  2. Step 2: Convert to fraction form
    11,601.01/17,403.44 = 3,808/x
  3. Step 3: Cross multiply
    11,601.01x = 17,403.44 × 3,808
  4. Step 4: Simplify right side
    11,601.01x = 66,272,299.52
  5. Step 5: Solve for x
    x = 66,272,299.52/11,601.01
  6. Step 6: Final answer
    x = 5,712.63

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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.