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Finding the Fourth Proportional to 8,012.64, 12,020.72 and 2,466.08

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Solution

The fourth proportional to 8,012.64, 12,020.72 and 2,466.08 is: 3,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.64 : 12,020.72 = 2,466.08 : x
  2. Step 2: Convert to fraction form
    8,012.64/12,020.72 = 2,466.08/x
  3. Step 3: Cross multiply
    8,012.64x = 12,020.72 × 2,466.08
  4. Step 4: Simplify right side
    8,012.64x = 29,644,057.18
  5. Step 5: Solve for x
    x = 29,644,057.18/8,012.64
  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.