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Finding the Fourth Proportional to 8,366.75, 11,546.21 and 5,224.76

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Solution

The fourth proportional to 8,366.75, 11,546.21 and 5,224.76 is: 7,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.75 : 11,546.21 = 5,224.76 : x
  2. Step 2: Convert to fraction form
    8,366.75/11,546.21 = 5,224.76/x
  3. Step 3: Cross multiply
    8,366.75x = 11,546.21 × 5,224.76
  4. Step 4: Simplify right side
    8,366.75x = 60,326,176.16
  5. Step 5: Solve for x
    x = 60,326,176.16/8,366.75
  6. Step 6: Final answer
    x = 7,210.23

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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.