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Finding the Fourth Proportional to 11,736.25, 16,196.03 and 6,431.28

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Solution

The fourth proportional to 11,736.25, 16,196.03 and 6,431.28 is: 8,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.25 : 16,196.03 = 6,431.28 : x
  2. Step 2: Convert to fraction form
    11,736.25/16,196.03 = 6,431.28/x
  3. Step 3: Cross multiply
    11,736.25x = 16,196.03 × 6,431.28
  4. Step 4: Simplify right side
    11,736.25x = 104,161,203.82
  5. Step 5: Solve for x
    x = 104,161,203.82/11,736.25
  6. Step 6: Final answer
    x = 8,875.17

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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.