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Finding the Fourth Proportional to 7,774.17, 11,659.20 and 3,093.99

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Solution

The fourth proportional to 7,774.17, 11,659.20 and 3,093.99 is: 4,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.17 : 11,659.20 = 3,093.99 : x
  2. Step 2: Convert to fraction form
    7,774.17/11,659.20 = 3,093.99/x
  3. Step 3: Cross multiply
    7,774.17x = 11,659.20 × 3,093.99
  4. Step 4: Simplify right side
    7,774.17x = 36,073,448.21
  5. Step 5: Solve for x
    x = 36,073,448.21/7,774.17
  6. Step 6: Final answer
    x = 4,640.17

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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.