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Finding the Fourth Proportional to 8,297.10, 12,445.49 and 2,057.13

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Solution

The fourth proportional to 8,297.10, 12,445.49 and 2,057.13 is: 3,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.10 : 12,445.49 = 2,057.13 : x
  2. Step 2: Convert to fraction form
    8,297.10/12,445.49 = 2,057.13/x
  3. Step 3: Cross multiply
    8,297.10x = 12,445.49 × 2,057.13
  4. Step 4: Simplify right side
    8,297.10x = 25,601,990.84
  5. Step 5: Solve for x
    x = 25,601,990.84/8,297.10
  6. Step 6: Final answer
    x = 3,085.66

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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.