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Finding the Fourth Proportional to 11,822.69, 17,738.28 and 5,065.44

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Solution

The fourth proportional to 11,822.69, 17,738.28 and 5,065.44 is: 7,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.69 : 17,738.28 = 5,065.44 : x
  2. Step 2: Convert to fraction form
    11,822.69/17,738.28 = 5,065.44/x
  3. Step 3: Cross multiply
    11,822.69x = 17,738.28 × 5,065.44
  4. Step 4: Simplify right side
    11,822.69x = 89,852,193.04
  5. Step 5: Solve for x
    x = 89,852,193.04/11,822.69
  6. Step 6: Final answer
    x = 7,599.98

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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.