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Finding the Fourth Proportional to 11,647.94, 16,074.36 and 6,612.08

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Solution

The fourth proportional to 11,647.94, 16,074.36 and 6,612.08 is: 9,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.94 : 16,074.36 = 6,612.08 : x
  2. Step 2: Convert to fraction form
    11,647.94/16,074.36 = 6,612.08/x
  3. Step 3: Cross multiply
    11,647.94x = 16,074.36 × 6,612.08
  4. Step 4: Simplify right side
    11,647.94x = 106,284,954.27
  5. Step 5: Solve for x
    x = 106,284,954.27/11,647.94
  6. Step 6: Final answer
    x = 9,124.79

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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.