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Finding the Fourth Proportional to 8,174.23, 11,283.87 and 5,525.23

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Solution

The fourth proportional to 8,174.23, 11,283.87 and 5,525.23 is: 7,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.23 : 11,283.87 = 5,525.23 : x
  2. Step 2: Convert to fraction form
    8,174.23/11,283.87 = 5,525.23/x
  3. Step 3: Cross multiply
    8,174.23x = 11,283.87 × 5,525.23
  4. Step 4: Simplify right side
    8,174.23x = 62,345,967.40
  5. Step 5: Solve for x
    x = 62,345,967.40/8,174.23
  6. Step 6: Final answer
    x = 7,627.13

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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.