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Finding the Fourth Proportional to 8,448.87, 11,647.09 and 5,923.36

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Solution

The fourth proportional to 8,448.87, 11,647.09 and 5,923.36 is: 8,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.87 : 11,647.09 = 5,923.36 : x
  2. Step 2: Convert to fraction form
    8,448.87/11,647.09 = 5,923.36/x
  3. Step 3: Cross multiply
    8,448.87x = 11,647.09 × 5,923.36
  4. Step 4: Simplify right side
    8,448.87x = 68,989,907.02
  5. Step 5: Solve for x
    x = 68,989,907.02/8,448.87
  6. Step 6: Final answer
    x = 8,165.58

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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.