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Finding the Fourth Proportional to 7,148.57, 10,725.06 and 3,203.15

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Solution

The fourth proportional to 7,148.57, 10,725.06 and 3,203.15 is: 4,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.57 : 10,725.06 = 3,203.15 : x
  2. Step 2: Convert to fraction form
    7,148.57/10,725.06 = 3,203.15/x
  3. Step 3: Cross multiply
    7,148.57x = 10,725.06 × 3,203.15
  4. Step 4: Simplify right side
    7,148.57x = 34,353,975.94
  5. Step 5: Solve for x
    x = 34,353,975.94/7,148.57
  6. Step 6: Final answer
    x = 4,805.71

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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.