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Finding the Fourth Proportional to 11,636.05, 16,057.50 and 6,331

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Solution

The fourth proportional to 11,636.05, 16,057.50 and 6,331 is: 8,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.05 : 16,057.50 = 6,331 : x
  2. Step 2: Convert to fraction form
    11,636.05/16,057.50 = 6,331/x
  3. Step 3: Cross multiply
    11,636.05x = 16,057.50 × 6,331
  4. Step 4: Simplify right side
    11,636.05x = 101,660,032.50
  5. Step 5: Solve for x
    x = 101,660,032.50/11,636.05
  6. Step 6: Final answer
    x = 8,736.64

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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.