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Finding the Fourth Proportional to 5,511.60, 8,267.40 and 5,209.20

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Solution

The fourth proportional to 5,511.60, 8,267.40 and 5,209.20 is: 7,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.60 : 8,267.40 = 5,209.20 : x
  2. Step 2: Convert to fraction form
    5,511.60/8,267.40 = 5,209.20/x
  3. Step 3: Cross multiply
    5,511.60x = 8,267.40 × 5,209.20
  4. Step 4: Simplify right side
    5,511.60x = 43,066,540.08
  5. Step 5: Solve for x
    x = 43,066,540.08/5,511.60
  6. Step 6: Final answer
    x = 7,813.80

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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.