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Finding the Fourth Proportional to 6,704.33, 10,056.18 and 2,261.71

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Solution

The fourth proportional to 6,704.33, 10,056.18 and 2,261.71 is: 3,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.33 : 10,056.18 = 2,261.71 : x
  2. Step 2: Convert to fraction form
    6,704.33/10,056.18 = 2,261.71/x
  3. Step 3: Cross multiply
    6,704.33x = 10,056.18 × 2,261.71
  4. Step 4: Simplify right side
    6,704.33x = 22,744,112.59
  5. Step 5: Solve for x
    x = 22,744,112.59/6,704.33
  6. Step 6: Final answer
    x = 3,392.45

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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.