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Finding the Fourth Proportional to 6,164.98, 8,504.69 and 5,926.26

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Solution

The fourth proportional to 6,164.98, 8,504.69 and 5,926.26 is: 8,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.98 : 8,504.69 = 5,926.26 : x
  2. Step 2: Convert to fraction form
    6,164.98/8,504.69 = 5,926.26/x
  3. Step 3: Cross multiply
    6,164.98x = 8,504.69 × 5,926.26
  4. Step 4: Simplify right side
    6,164.98x = 50,401,004.16
  5. Step 5: Solve for x
    x = 50,401,004.16/6,164.98
  6. Step 6: Final answer
    x = 8,175.37

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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.