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Finding the Fourth Proportional to 7,733.97, 10,671.78 and 4,377.33

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Solution

The fourth proportional to 7,733.97, 10,671.78 and 4,377.33 is: 6,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.97 : 10,671.78 = 4,377.33 : x
  2. Step 2: Convert to fraction form
    7,733.97/10,671.78 = 4,377.33/x
  3. Step 3: Cross multiply
    7,733.97x = 10,671.78 × 4,377.33
  4. Step 4: Simplify right side
    7,733.97x = 46,713,902.75
  5. Step 5: Solve for x
    x = 46,713,902.75/7,733.97
  6. Step 6: Final answer
    x = 6,040.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.