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Finding the Fourth Proportional to 6,209.08, 8,567.04 and 5,711.20

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Solution

The fourth proportional to 6,209.08, 8,567.04 and 5,711.20 is: 7,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.08 : 8,567.04 = 5,711.20 : x
  2. Step 2: Convert to fraction form
    6,209.08/8,567.04 = 5,711.20/x
  3. Step 3: Cross multiply
    6,209.08x = 8,567.04 × 5,711.20
  4. Step 4: Simplify right side
    6,209.08x = 48,928,078.85
  5. Step 5: Solve for x
    x = 48,928,078.85/6,209.08
  6. Step 6: Final answer
    x = 7,880.09

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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.