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Finding the Fourth Proportional to 7,149.90, 10,736.64 and 4,824.84

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Solution

The fourth proportional to 7,149.90, 10,736.64 and 4,824.84 is: 7,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.90 : 10,736.64 = 4,824.84 : x
  2. Step 2: Convert to fraction form
    7,149.90/10,736.64 = 4,824.84/x
  3. Step 3: Cross multiply
    7,149.90x = 10,736.64 × 4,824.84
  4. Step 4: Simplify right side
    7,149.90x = 51,802,570.14
  5. Step 5: Solve for x
    x = 51,802,570.14/7,149.90
  6. Step 6: Final answer
    x = 7,245.22

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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.