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Finding the Fourth Proportional to 8,111.10, 12,165.18 and 2,266.26

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Solution

The fourth proportional to 8,111.10, 12,165.18 and 2,266.26 is: 3,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.10 : 12,165.18 = 2,266.26 : x
  2. Step 2: Convert to fraction form
    8,111.10/12,165.18 = 2,266.26/x
  3. Step 3: Cross multiply
    8,111.10x = 12,165.18 × 2,266.26
  4. Step 4: Simplify right side
    8,111.10x = 27,569,460.83
  5. Step 5: Solve for x
    x = 27,569,460.83/8,111.10
  6. Step 6: Final answer
    x = 3,398.98

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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.