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Finding the Fourth Proportional to 6,056.17, 8,361.63 and 4,463.00

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Solution

The fourth proportional to 6,056.17, 8,361.63 and 4,463.00 is: 6,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.17 : 8,361.63 = 4,463.00 : x
  2. Step 2: Convert to fraction form
    6,056.17/8,361.63 = 4,463.00/x
  3. Step 3: Cross multiply
    6,056.17x = 8,361.63 × 4,463.00
  4. Step 4: Simplify right side
    6,056.17x = 37,317,944.24
  5. Step 5: Solve for x
    x = 37,317,944.24/6,056.17
  6. Step 6: Final answer
    x = 6,161.97

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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.