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Finding the Fourth Proportional to 7,202.59, 10,805.24 and 4,960.58

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Solution

The fourth proportional to 7,202.59, 10,805.24 and 4,960.58 is: 7,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.59 : 10,805.24 = 4,960.58 : x
  2. Step 2: Convert to fraction form
    7,202.59/10,805.24 = 4,960.58/x
  3. Step 3: Cross multiply
    7,202.59x = 10,805.24 × 4,960.58
  4. Step 4: Simplify right side
    7,202.59x = 53,600,257.44
  5. Step 5: Solve for x
    x = 53,600,257.44/7,202.59
  6. Step 6: Final answer
    x = 7,441.80

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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.