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Finding the Fourth Proportional to 10,136.44, 13,987.82 and 5,659.31

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Solution

The fourth proportional to 10,136.44, 13,987.82 and 5,659.31 is: 7,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.44 : 13,987.82 = 5,659.31 : x
  2. Step 2: Convert to fraction form
    10,136.44/13,987.82 = 5,659.31/x
  3. Step 3: Cross multiply
    10,136.44x = 13,987.82 × 5,659.31
  4. Step 4: Simplify right side
    10,136.44x = 79,161,458.72
  5. Step 5: Solve for x
    x = 79,161,458.72/10,136.44
  6. Step 6: Final answer
    x = 7,809.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.