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Finding the Fourth Proportional to 11,411.22, 15,745.92 and 6,374.80

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Solution

The fourth proportional to 11,411.22, 15,745.92 and 6,374.80 is: 8,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.22 : 15,745.92 = 6,374.80 : x
  2. Step 2: Convert to fraction form
    11,411.22/15,745.92 = 6,374.80/x
  3. Step 3: Cross multiply
    11,411.22x = 15,745.92 × 6,374.80
  4. Step 4: Simplify right side
    11,411.22x = 100,377,090.82
  5. Step 5: Solve for x
    x = 100,377,090.82/11,411.22
  6. Step 6: Final answer
    x = 8,796.35

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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.