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Finding the Fourth Proportional to 7,145.81, 10,725.63 and 3,450.63

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Solution

The fourth proportional to 7,145.81, 10,725.63 and 3,450.63 is: 5,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.81 : 10,725.63 = 3,450.63 : x
  2. Step 2: Convert to fraction form
    7,145.81/10,725.63 = 3,450.63/x
  3. Step 3: Cross multiply
    7,145.81x = 10,725.63 × 3,450.63
  4. Step 4: Simplify right side
    7,145.81x = 37,010,180.65
  5. Step 5: Solve for x
    x = 37,010,180.65/7,145.81
  6. Step 6: Final answer
    x = 5,179.29

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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.