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Finding the Fourth Proportional to 8,223.64, 11,356.90 and 5,240.80

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Solution

The fourth proportional to 8,223.64, 11,356.90 and 5,240.80 is: 7,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.64 : 11,356.90 = 5,240.80 : x
  2. Step 2: Convert to fraction form
    8,223.64/11,356.90 = 5,240.80/x
  3. Step 3: Cross multiply
    8,223.64x = 11,356.90 × 5,240.80
  4. Step 4: Simplify right side
    8,223.64x = 59,519,241.52
  5. Step 5: Solve for x
    x = 59,519,241.52/8,223.64
  6. Step 6: Final answer
    x = 7,237.58

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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.