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Finding the Fourth Proportional to 8,223.57, 12,335.22 and 5,584.53

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Solution

The fourth proportional to 8,223.57, 12,335.22 and 5,584.53 is: 8,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.57 : 12,335.22 = 5,584.53 : x
  2. Step 2: Convert to fraction form
    8,223.57/12,335.22 = 5,584.53/x
  3. Step 3: Cross multiply
    8,223.57x = 12,335.22 × 5,584.53
  4. Step 4: Simplify right side
    8,223.57x = 68,886,406.15
  5. Step 5: Solve for x
    x = 68,886,406.15/8,223.57
  6. Step 6: Final answer
    x = 8,376.70

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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.