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Finding the Fourth Proportional to 7,147.84, 10,725.41 and 3,453.22

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Solution

The fourth proportional to 7,147.84, 10,725.41 and 3,453.22 is: 5,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.84 : 10,725.41 = 3,453.22 : x
  2. Step 2: Convert to fraction form
    7,147.84/10,725.41 = 3,453.22/x
  3. Step 3: Cross multiply
    7,147.84x = 10,725.41 × 3,453.22
  4. Step 4: Simplify right side
    7,147.84x = 37,037,200.32
  5. Step 5: Solve for x
    x = 37,037,200.32/7,147.84
  6. Step 6: Final answer
    x = 5,181.59

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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.