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Finding the Fourth Proportional to 11,736.52, 16,196.58 and 7,021

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Solution

The fourth proportional to 11,736.52, 16,196.58 and 7,021 is: 9,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.52 : 16,196.58 = 7,021 : x
  2. Step 2: Convert to fraction form
    11,736.52/16,196.58 = 7,021/x
  3. Step 3: Cross multiply
    11,736.52x = 16,196.58 × 7,021
  4. Step 4: Simplify right side
    11,736.52x = 113,716,188.18
  5. Step 5: Solve for x
    x = 113,716,188.18/11,736.52
  6. Step 6: Final answer
    x = 9,689.09

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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.