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Finding the Fourth Proportional to 8,113.91, 12,172.89 and 2,270.48

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Solution

The fourth proportional to 8,113.91, 12,172.89 and 2,270.48 is: 3,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.91 : 12,172.89 = 2,270.48 : x
  2. Step 2: Convert to fraction form
    8,113.91/12,172.89 = 2,270.48/x
  3. Step 3: Cross multiply
    8,113.91x = 12,172.89 × 2,270.48
  4. Step 4: Simplify right side
    8,113.91x = 27,638,303.29
  5. Step 5: Solve for x
    x = 27,638,303.29/8,113.91
  6. Step 6: Final answer
    x = 3,406.29

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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.