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Finding the Fourth Proportional to 5,511.76, 8,267.04 and 1,616.20

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Solution

The fourth proportional to 5,511.76, 8,267.04 and 1,616.20 is: 2,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.76 : 8,267.04 = 1,616.20 : x
  2. Step 2: Convert to fraction form
    5,511.76/8,267.04 = 1,616.20/x
  3. Step 3: Cross multiply
    5,511.76x = 8,267.04 × 1,616.20
  4. Step 4: Simplify right side
    5,511.76x = 13,361,190.05
  5. Step 5: Solve for x
    x = 13,361,190.05/5,511.76
  6. Step 6: Final answer
    x = 2,424.12

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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.