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Finding the Fourth Proportional to 11,775.75, 17,671.73 and 4,850.25

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Solution

The fourth proportional to 11,775.75, 17,671.73 and 4,850.25 is: 7,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.75 : 17,671.73 = 4,850.25 : x
  2. Step 2: Convert to fraction form
    11,775.75/17,671.73 = 4,850.25/x
  3. Step 3: Cross multiply
    11,775.75x = 17,671.73 × 4,850.25
  4. Step 4: Simplify right side
    11,775.75x = 85,712,284.18
  5. Step 5: Solve for x
    x = 85,712,284.18/11,775.75
  6. Step 6: Final answer
    x = 7,278.71

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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.