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Finding the Fourth Proportional to 8,223.76, 12,314.16 and 5,403.72

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Solution

The fourth proportional to 8,223.76, 12,314.16 and 5,403.72 is: 8,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.76 : 12,314.16 = 5,403.72 : x
  2. Step 2: Convert to fraction form
    8,223.76/12,314.16 = 5,403.72/x
  3. Step 3: Cross multiply
    8,223.76x = 12,314.16 × 5,403.72
  4. Step 4: Simplify right side
    8,223.76x = 66,542,328.99
  5. Step 5: Solve for x
    x = 66,542,328.99/8,223.76
  6. Step 6: Final answer
    x = 8,091.48

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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.