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Finding the Fourth Proportional to 11,736.50, 16,196.38 and 6,431.34

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Solution

The fourth proportional to 11,736.50, 16,196.38 and 6,431.34 is: 8,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.50 : 16,196.38 = 6,431.34 : x
  2. Step 2: Convert to fraction form
    11,736.50/16,196.38 = 6,431.34/x
  3. Step 3: Cross multiply
    11,736.50x = 16,196.38 × 6,431.34
  4. Step 4: Simplify right side
    11,736.50x = 104,164,426.55
  5. Step 5: Solve for x
    x = 104,164,426.55/11,736.50
  6. Step 6: Final answer
    x = 8,875.25

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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.