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Finding the Fourth Proportional to 11,761.40, 17,646.18 and 7,828.44

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Solution

The fourth proportional to 11,761.40, 17,646.18 and 7,828.44 is: 11,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.40 : 17,646.18 = 7,828.44 : x
  2. Step 2: Convert to fraction form
    11,761.40/17,646.18 = 7,828.44/x
  3. Step 3: Cross multiply
    11,761.40x = 17,646.18 × 7,828.44
  4. Step 4: Simplify right side
    11,761.40x = 138,142,061.36
  5. Step 5: Solve for x
    x = 138,142,061.36/11,761.40
  6. Step 6: Final answer
    x = 11,745.38

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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.