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Finding the Fourth Proportional to 7,453.25, 11,180.25 and 1,906.64

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Solution

The fourth proportional to 7,453.25, 11,180.25 and 1,906.64 is: 2,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.25 : 11,180.25 = 1,906.64 : x
  2. Step 2: Convert to fraction form
    7,453.25/11,180.25 = 1,906.64/x
  3. Step 3: Cross multiply
    7,453.25x = 11,180.25 × 1,906.64
  4. Step 4: Simplify right side
    7,453.25x = 21,316,703.25
  5. Step 5: Solve for x
    x = 21,316,703.25/7,453.25
  6. Step 6: Final answer
    x = 2,860.06

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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.