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Finding the Fourth Proportional to 8,012.98, 12,020.82 and 2,466.16

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Solution

The fourth proportional to 8,012.98, 12,020.82 and 2,466.16 is: 3,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.98 : 12,020.82 = 2,466.16 : x
  2. Step 2: Convert to fraction form
    8,012.98/12,020.82 = 2,466.16/x
  3. Step 3: Cross multiply
    8,012.98x = 12,020.82 × 2,466.16
  4. Step 4: Simplify right side
    8,012.98x = 29,645,265.45
  5. Step 5: Solve for x
    x = 29,645,265.45/8,012.98
  6. Step 6: Final answer
    x = 3,699.66

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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.