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Finding the Fourth Proportional to 11,807.68, 17,708.26 and 3,486.82

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Solution

The fourth proportional to 11,807.68, 17,708.26 and 3,486.82 is: 5,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.68 : 17,708.26 = 3,486.82 : x
  2. Step 2: Convert to fraction form
    11,807.68/17,708.26 = 3,486.82/x
  3. Step 3: Cross multiply
    11,807.68x = 17,708.26 × 3,486.82
  4. Step 4: Simplify right side
    11,807.68x = 61,745,515.13
  5. Step 5: Solve for x
    x = 61,745,515.13/11,807.68
  6. Step 6: Final answer
    x = 5,229.27

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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.