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Finding the Fourth Proportional to 8,111.90, 12,166.46 and 2,267.16

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Solution

The fourth proportional to 8,111.90, 12,166.46 and 2,267.16 is: 3,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.90 : 12,166.46 = 2,267.16 : x
  2. Step 2: Convert to fraction form
    8,111.90/12,166.46 = 2,267.16/x
  3. Step 3: Cross multiply
    8,111.90x = 12,166.46 × 2,267.16
  4. Step 4: Simplify right side
    8,111.90x = 27,583,311.45
  5. Step 5: Solve for x
    x = 27,583,311.45/8,111.90
  6. Step 6: Final answer
    x = 3,400.35

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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.