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Finding the Fourth Proportional to 4,511.16, 6,766.71 and 1,224.24

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Solution

The fourth proportional to 4,511.16, 6,766.71 and 1,224.24 is: 1,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.16 : 6,766.71 = 1,224.24 : x
  2. Step 2: Convert to fraction form
    4,511.16/6,766.71 = 1,224.24/x
  3. Step 3: Cross multiply
    4,511.16x = 6,766.71 × 1,224.24
  4. Step 4: Simplify right side
    4,511.16x = 8,284,077.05
  5. Step 5: Solve for x
    x = 8,284,077.05/4,511.16
  6. Step 6: Final answer
    x = 1,836.35

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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.