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Finding the Fourth Proportional to 11,647.72, 16,073.88 and 6,342.56

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Solution

The fourth proportional to 11,647.72, 16,073.88 and 6,342.56 is: 8,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.72 : 16,073.88 = 6,342.56 : x
  2. Step 2: Convert to fraction form
    11,647.72/16,073.88 = 6,342.56/x
  3. Step 3: Cross multiply
    11,647.72x = 16,073.88 × 6,342.56
  4. Step 4: Simplify right side
    11,647.72x = 101,949,588.52
  5. Step 5: Solve for x
    x = 101,949,588.52/11,647.72
  6. Step 6: Final answer
    x = 8,752.75

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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.