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Finding the Fourth Proportional to 8,090.84, 11,163.97 and 7,436.84

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Solution

The fourth proportional to 8,090.84, 11,163.97 and 7,436.84 is: 10,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.84 : 11,163.97 = 7,436.84 : x
  2. Step 2: Convert to fraction form
    8,090.84/11,163.97 = 7,436.84/x
  3. Step 3: Cross multiply
    8,090.84x = 11,163.97 × 7,436.84
  4. Step 4: Simplify right side
    8,090.84x = 83,024,701.09
  5. Step 5: Solve for x
    x = 83,024,701.09/8,090.84
  6. Step 6: Final answer
    x = 10,261.57

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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.