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Finding the Fourth Proportional to 11,770.26, 17,643.54 and 5,195.28

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Solution

The fourth proportional to 11,770.26, 17,643.54 and 5,195.28 is: 7,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.26 : 17,643.54 = 5,195.28 : x
  2. Step 2: Convert to fraction form
    11,770.26/17,643.54 = 5,195.28/x
  3. Step 3: Cross multiply
    11,770.26x = 17,643.54 × 5,195.28
  4. Step 4: Simplify right side
    11,770.26x = 91,663,130.49
  5. Step 5: Solve for x
    x = 91,663,130.49/11,770.26
  6. Step 6: Final answer
    x = 7,787.69

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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.