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Finding the Fourth Proportional to 8,113.62, 12,170.45 and 2,270.28

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Solution

The fourth proportional to 8,113.62, 12,170.45 and 2,270.28 is: 3,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.62 : 12,170.45 = 2,270.28 : x
  2. Step 2: Convert to fraction form
    8,113.62/12,170.45 = 2,270.28/x
  3. Step 3: Cross multiply
    8,113.62x = 12,170.45 × 2,270.28
  4. Step 4: Simplify right side
    8,113.62x = 27,630,317.87
  5. Step 5: Solve for x
    x = 27,630,317.87/8,113.62
  6. Step 6: Final answer
    x = 3,405.42

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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.