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Finding the Fourth Proportional to 7,850.77, 11,780.84 and 3,173.05

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Solution

The fourth proportional to 7,850.77, 11,780.84 and 3,173.05 is: 4,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.77 : 11,780.84 = 3,173.05 : x
  2. Step 2: Convert to fraction form
    7,850.77/11,780.84 = 3,173.05/x
  3. Step 3: Cross multiply
    7,850.77x = 11,780.84 × 3,173.05
  4. Step 4: Simplify right side
    7,850.77x = 37,381,178.50
  5. Step 5: Solve for x
    x = 37,381,178.50/7,850.77
  6. Step 6: Final answer
    x = 4,761.47

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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.