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Finding the Fourth Proportional to 11,404.16, 17,092.26 and 6,477.94

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Solution

The fourth proportional to 11,404.16, 17,092.26 and 6,477.94 is: 9,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.16 : 17,092.26 = 6,477.94 : x
  2. Step 2: Convert to fraction form
    11,404.16/17,092.26 = 6,477.94/x
  3. Step 3: Cross multiply
    11,404.16x = 17,092.26 × 6,477.94
  4. Step 4: Simplify right side
    11,404.16x = 110,722,634.74
  5. Step 5: Solve for x
    x = 110,722,634.74/11,404.16
  6. Step 6: Final answer
    x = 9,708.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.