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Finding the Fourth Proportional to 11,382.99, 17,083.31 and 7,897.45

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Solution

The fourth proportional to 11,382.99, 17,083.31 and 7,897.45 is: 11,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.99 : 17,083.31 = 7,897.45 : x
  2. Step 2: Convert to fraction form
    11,382.99/17,083.31 = 7,897.45/x
  3. Step 3: Cross multiply
    11,382.99x = 17,083.31 × 7,897.45
  4. Step 4: Simplify right side
    11,382.99x = 134,914,586.56
  5. Step 5: Solve for x
    x = 134,914,586.56/11,382.99
  6. Step 6: Final answer
    x = 11,852.30

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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.