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Finding the Fourth Proportional to 11,712.48, 16,164.72 and 6,745.44

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Solution

The fourth proportional to 11,712.48, 16,164.72 and 6,745.44 is: 9,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.48 : 16,164.72 = 6,745.44 : x
  2. Step 2: Convert to fraction form
    11,712.48/16,164.72 = 6,745.44/x
  3. Step 3: Cross multiply
    11,712.48x = 16,164.72 × 6,745.44
  4. Step 4: Simplify right side
    11,712.48x = 109,038,148.88
  5. Step 5: Solve for x
    x = 109,038,148.88/11,712.48
  6. Step 6: Final answer
    x = 9,309.57

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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.