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Finding the Fourth Proportional to 7,208.62, 10,814.22 and 4,966.60

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Solution

The fourth proportional to 7,208.62, 10,814.22 and 4,966.60 is: 7,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.62 : 10,814.22 = 4,966.60 : x
  2. Step 2: Convert to fraction form
    7,208.62/10,814.22 = 4,966.60/x
  3. Step 3: Cross multiply
    7,208.62x = 10,814.22 × 4,966.60
  4. Step 4: Simplify right side
    7,208.62x = 53,709,905.05
  5. Step 5: Solve for x
    x = 53,709,905.05/7,208.62
  6. Step 6: Final answer
    x = 7,450.79

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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.