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Finding the Fourth Proportional to 7,781.77, 11,697.26 and 6,699.21

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Solution

The fourth proportional to 7,781.77, 11,697.26 and 6,699.21 is: 10,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.77 : 11,697.26 = 6,699.21 : x
  2. Step 2: Convert to fraction form
    7,781.77/11,697.26 = 6,699.21/x
  3. Step 3: Cross multiply
    7,781.77x = 11,697.26 × 6,699.21
  4. Step 4: Simplify right side
    7,781.77x = 78,362,361.49
  5. Step 5: Solve for x
    x = 78,362,361.49/7,781.77
  6. Step 6: Final answer
    x = 10,069.99

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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.