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Finding the Fourth Proportional to 8,381.36, 11,562.62 and 5,193.81

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Solution

The fourth proportional to 8,381.36, 11,562.62 and 5,193.81 is: 7,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.36 : 11,562.62 = 5,193.81 : x
  2. Step 2: Convert to fraction form
    8,381.36/11,562.62 = 5,193.81/x
  3. Step 3: Cross multiply
    8,381.36x = 11,562.62 × 5,193.81
  4. Step 4: Simplify right side
    8,381.36x = 60,054,025.41
  5. Step 5: Solve for x
    x = 60,054,025.41/8,381.36
  6. Step 6: Final answer
    x = 7,165.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.