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Finding the Fourth Proportional to 6,735.74, 10,104.01 and 2,056.07

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Solution

The fourth proportional to 6,735.74, 10,104.01 and 2,056.07 is: 3,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.74 : 10,104.01 = 2,056.07 : x
  2. Step 2: Convert to fraction form
    6,735.74/10,104.01 = 2,056.07/x
  3. Step 3: Cross multiply
    6,735.74x = 10,104.01 × 2,056.07
  4. Step 4: Simplify right side
    6,735.74x = 20,774,571.96
  5. Step 5: Solve for x
    x = 20,774,571.96/6,735.74
  6. Step 6: Final answer
    x = 3,084.23

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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.