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Finding the Fourth Proportional to 8,010.57, 12,015.86 and 3,082.53

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Solution

The fourth proportional to 8,010.57, 12,015.86 and 3,082.53 is: 4,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.57 : 12,015.86 = 3,082.53 : x
  2. Step 2: Convert to fraction form
    8,010.57/12,015.86 = 3,082.53/x
  3. Step 3: Cross multiply
    8,010.57x = 12,015.86 × 3,082.53
  4. Step 4: Simplify right side
    8,010.57x = 37,039,233.51
  5. Step 5: Solve for x
    x = 37,039,233.51/8,010.57
  6. Step 6: Final answer
    x = 4,623.80

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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.