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Finding the Fourth Proportional to 7,809.44, 11,716.04 and 2,263.17

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Solution

The fourth proportional to 7,809.44, 11,716.04 and 2,263.17 is: 3,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.44 : 11,716.04 = 2,263.17 : x
  2. Step 2: Convert to fraction form
    7,809.44/11,716.04 = 2,263.17/x
  3. Step 3: Cross multiply
    7,809.44x = 11,716.04 × 2,263.17
  4. Step 4: Simplify right side
    7,809.44x = 26,515,390.25
  5. Step 5: Solve for x
    x = 26,515,390.25/7,809.44
  6. Step 6: Final answer
    x = 3,395.30

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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.