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Finding the Fourth Proportional to 8,164.26, 11,262.64 and 5,330.31

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Solution

The fourth proportional to 8,164.26, 11,262.64 and 5,330.31 is: 7,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.26 : 11,262.64 = 5,330.31 : x
  2. Step 2: Convert to fraction form
    8,164.26/11,262.64 = 5,330.31/x
  3. Step 3: Cross multiply
    8,164.26x = 11,262.64 × 5,330.31
  4. Step 4: Simplify right side
    8,164.26x = 60,033,362.62
  5. Step 5: Solve for x
    x = 60,033,362.62/8,164.26
  6. Step 6: Final answer
    x = 7,353.19

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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.