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Finding the Fourth Proportional to 7,145.54, 10,725.20 and 3,450.36

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Solution

The fourth proportional to 7,145.54, 10,725.20 and 3,450.36 is: 5,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.54 : 10,725.20 = 3,450.36 : x
  2. Step 2: Convert to fraction form
    7,145.54/10,725.20 = 3,450.36/x
  3. Step 3: Cross multiply
    7,145.54x = 10,725.20 × 3,450.36
  4. Step 4: Simplify right side
    7,145.54x = 37,005,801.07
  5. Step 5: Solve for x
    x = 37,005,801.07/7,145.54
  6. Step 6: Final answer
    x = 5,178.87

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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.