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Finding the Fourth Proportional to 7,468.80, 11,200.59 and 2,202.42

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Solution

The fourth proportional to 7,468.80, 11,200.59 and 2,202.42 is: 3,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.80 : 11,200.59 = 2,202.42 : x
  2. Step 2: Convert to fraction form
    7,468.80/11,200.59 = 2,202.42/x
  3. Step 3: Cross multiply
    7,468.80x = 11,200.59 × 2,202.42
  4. Step 4: Simplify right side
    7,468.80x = 24,668,352.93
  5. Step 5: Solve for x
    x = 24,668,352.93/7,468.80
  6. Step 6: Final answer
    x = 3,302.85

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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.