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Finding the Fourth Proportional to 11,698.85, 16,150.44 and 8,165.63

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Solution

The fourth proportional to 11,698.85, 16,150.44 and 8,165.63 is: 11,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.85 : 16,150.44 = 8,165.63 : x
  2. Step 2: Convert to fraction form
    11,698.85/16,150.44 = 8,165.63/x
  3. Step 3: Cross multiply
    11,698.85x = 16,150.44 × 8,165.63
  4. Step 4: Simplify right side
    11,698.85x = 131,878,436.63
  5. Step 5: Solve for x
    x = 131,878,436.63/11,698.85
  6. Step 6: Final answer
    x = 11,272.77

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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.