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Finding the Fourth Proportional to 8,223.75, 11,352.42 and 5,395.23

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Solution

The fourth proportional to 8,223.75, 11,352.42 and 5,395.23 is: 7,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.75 : 11,352.42 = 5,395.23 : x
  2. Step 2: Convert to fraction form
    8,223.75/11,352.42 = 5,395.23/x
  3. Step 3: Cross multiply
    8,223.75x = 11,352.42 × 5,395.23
  4. Step 4: Simplify right side
    8,223.75x = 61,248,916.96
  5. Step 5: Solve for x
    x = 61,248,916.96/8,223.75
  6. Step 6: Final answer
    x = 7,447.81

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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.