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Finding the Fourth Proportional to 11,411.21, 15,745.92 and 6,374.81

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Solution

The fourth proportional to 11,411.21, 15,745.92 and 6,374.81 is: 8,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.21 : 15,745.92 = 6,374.81 : x
  2. Step 2: Convert to fraction form
    11,411.21/15,745.92 = 6,374.81/x
  3. Step 3: Cross multiply
    11,411.21x = 15,745.92 × 6,374.81
  4. Step 4: Simplify right side
    11,411.21x = 100,377,248.28
  5. Step 5: Solve for x
    x = 100,377,248.28/11,411.21
  6. Step 6: Final answer
    x = 8,796.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.