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Finding the Fourth Proportional to 7,148.80, 10,725.37 and 3,450.34

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Solution

The fourth proportional to 7,148.80, 10,725.37 and 3,450.34 is: 5,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.80 : 10,725.37 = 3,450.34 : x
  2. Step 2: Convert to fraction form
    7,148.80/10,725.37 = 3,450.34/x
  3. Step 3: Cross multiply
    7,148.80x = 10,725.37 × 3,450.34
  4. Step 4: Simplify right side
    7,148.80x = 37,006,137.69
  5. Step 5: Solve for x
    x = 37,006,137.69/7,148.80
  6. Step 6: Final answer
    x = 5,176.55

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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.