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Finding the Fourth Proportional to 7,850.25, 11,775.38 and 2,378.25

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Solution

The fourth proportional to 7,850.25, 11,775.38 and 2,378.25 is: 3,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.25 : 11,775.38 = 2,378.25 : x
  2. Step 2: Convert to fraction form
    7,850.25/11,775.38 = 2,378.25/x
  3. Step 3: Cross multiply
    7,850.25x = 11,775.38 × 2,378.25
  4. Step 4: Simplify right side
    7,850.25x = 28,004,785.59
  5. Step 5: Solve for x
    x = 28,004,785.59/7,850.25
  6. Step 6: Final answer
    x = 3,567.38

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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.