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Finding the Fourth Proportional to 7,202.59, 10,784.41 and 3,732.55

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Solution

The fourth proportional to 7,202.59, 10,784.41 and 3,732.55 is: 5,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.59 : 10,784.41 = 3,732.55 : x
  2. Step 2: Convert to fraction form
    7,202.59/10,784.41 = 3,732.55/x
  3. Step 3: Cross multiply
    7,202.59x = 10,784.41 × 3,732.55
  4. Step 4: Simplify right side
    7,202.59x = 40,253,313.25
  5. Step 5: Solve for x
    x = 40,253,313.25/7,202.59
  6. Step 6: Final answer
    x = 5,588.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.