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Finding the Fourth Proportional to 12,652.13, 18,974.57 and 3,767.10

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Solution

The fourth proportional to 12,652.13, 18,974.57 and 3,767.10 is: 5,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.13 : 18,974.57 = 3,767.10 : x
  2. Step 2: Convert to fraction form
    12,652.13/18,974.57 = 3,767.10/x
  3. Step 3: Cross multiply
    12,652.13x = 18,974.57 × 3,767.10
  4. Step 4: Simplify right side
    12,652.13x = 71,479,083.81
  5. Step 5: Solve for x
    x = 71,479,083.81/12,652.13
  6. Step 6: Final answer
    x = 5,649.57

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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.