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Finding the Fourth Proportional to 8,113.69, 12,170.56 and 2,270.35

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Solution

The fourth proportional to 8,113.69, 12,170.56 and 2,270.35 is: 3,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.69 : 12,170.56 = 2,270.35 : x
  2. Step 2: Convert to fraction form
    8,113.69/12,170.56 = 2,270.35/x
  3. Step 3: Cross multiply
    8,113.69x = 12,170.56 × 2,270.35
  4. Step 4: Simplify right side
    8,113.69x = 27,631,430.90
  5. Step 5: Solve for x
    x = 27,631,430.90/8,113.69
  6. Step 6: Final answer
    x = 3,405.53

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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.