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Finding the Fourth Proportional to 10,843.68, 16,241.04 and 6,615.60

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Solution

The fourth proportional to 10,843.68, 16,241.04 and 6,615.60 is: 9,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.68 : 16,241.04 = 6,615.60 : x
  2. Step 2: Convert to fraction form
    10,843.68/16,241.04 = 6,615.60/x
  3. Step 3: Cross multiply
    10,843.68x = 16,241.04 × 6,615.60
  4. Step 4: Simplify right side
    10,843.68x = 107,444,224.22
  5. Step 5: Solve for x
    x = 107,444,224.22/10,843.68
  6. Step 6: Final answer
    x = 9,908.47

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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.