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Finding the Fourth Proportional to 8,923.26, 13,375.24 and 5,805.50

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Solution

The fourth proportional to 8,923.26, 13,375.24 and 5,805.50 is: 8,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.26 : 13,375.24 = 5,805.50 : x
  2. Step 2: Convert to fraction form
    8,923.26/13,375.24 = 5,805.50/x
  3. Step 3: Cross multiply
    8,923.26x = 13,375.24 × 5,805.50
  4. Step 4: Simplify right side
    8,923.26x = 77,649,955.82
  5. Step 5: Solve for x
    x = 77,649,955.82/8,923.26
  6. Step 6: Final answer
    x = 8,701.97

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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.