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Finding the Fourth Proportional to 7,809.57, 11,716.09 and 2,263.14

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Solution

The fourth proportional to 7,809.57, 11,716.09 and 2,263.14 is: 3,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.57 : 11,716.09 = 2,263.14 : x
  2. Step 2: Convert to fraction form
    7,809.57/11,716.09 = 2,263.14/x
  3. Step 3: Cross multiply
    7,809.57x = 11,716.09 × 2,263.14
  4. Step 4: Simplify right side
    7,809.57x = 26,515,146.26
  5. Step 5: Solve for x
    x = 26,515,146.26/7,809.57
  6. Step 6: Final answer
    x = 3,395.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.