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Finding the Fourth Proportional to 6,725.70, 10,106.37 and 3,608.01

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Solution

The fourth proportional to 6,725.70, 10,106.37 and 3,608.01 is: 5,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.70 : 10,106.37 = 3,608.01 : x
  2. Step 2: Convert to fraction form
    6,725.70/10,106.37 = 3,608.01/x
  3. Step 3: Cross multiply
    6,725.70x = 10,106.37 × 3,608.01
  4. Step 4: Simplify right side
    6,725.70x = 36,463,884.02
  5. Step 5: Solve for x
    x = 36,463,884.02/6,725.70
  6. Step 6: Final answer
    x = 5,421.57

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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.