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Finding the Fourth Proportional to 11,693.54, 16,137.16 and 6,976.64

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Solution

The fourth proportional to 11,693.54, 16,137.16 and 6,976.64 is: 9,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.54 : 16,137.16 = 6,976.64 : x
  2. Step 2: Convert to fraction form
    11,693.54/16,137.16 = 6,976.64/x
  3. Step 3: Cross multiply
    11,693.54x = 16,137.16 × 6,976.64
  4. Step 4: Simplify right side
    11,693.54x = 112,583,155.94
  5. Step 5: Solve for x
    x = 112,583,155.94/11,693.54
  6. Step 6: Final answer
    x = 9,627.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.