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Finding the Fourth Proportional to 11,696.63, 17,539.47 and 3,899.97

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Solution

The fourth proportional to 11,696.63, 17,539.47 and 3,899.97 is: 5,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.63 : 17,539.47 = 3,899.97 : x
  2. Step 2: Convert to fraction form
    11,696.63/17,539.47 = 3,899.97/x
  3. Step 3: Cross multiply
    11,696.63x = 17,539.47 × 3,899.97
  4. Step 4: Simplify right side
    11,696.63x = 68,403,406.82
  5. Step 5: Solve for x
    x = 68,403,406.82/11,696.63
  6. Step 6: Final answer
    x = 5,848.13

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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.