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Finding the Fourth Proportional to 7,796.94, 11,705.13 and 5,191.98

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Solution

The fourth proportional to 7,796.94, 11,705.13 and 5,191.98 is: 7,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.94 : 11,705.13 = 5,191.98 : x
  2. Step 2: Convert to fraction form
    7,796.94/11,705.13 = 5,191.98/x
  3. Step 3: Cross multiply
    7,796.94x = 11,705.13 × 5,191.98
  4. Step 4: Simplify right side
    7,796.94x = 60,772,800.86
  5. Step 5: Solve for x
    x = 60,772,800.86/7,796.94
  6. Step 6: Final answer
    x = 7,794.44

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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.