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Finding the Fourth Proportional to 7,149.07, 10,725.81 and 3,203.65

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Solution

The fourth proportional to 7,149.07, 10,725.81 and 3,203.65 is: 4,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.07 : 10,725.81 = 3,203.65 : x
  2. Step 2: Convert to fraction form
    7,149.07/10,725.81 = 3,203.65/x
  3. Step 3: Cross multiply
    7,149.07x = 10,725.81 × 3,203.65
  4. Step 4: Simplify right side
    7,149.07x = 34,361,741.21
  5. Step 5: Solve for x
    x = 34,361,741.21/7,149.07
  6. Step 6: Final answer
    x = 4,806.46

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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.