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Finding the Fourth Proportional to 11,733.72, 16,192.53 and 7,018

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Solution

The fourth proportional to 11,733.72, 16,192.53 and 7,018 is: 9,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.72 : 16,192.53 = 7,018 : x
  2. Step 2: Convert to fraction form
    11,733.72/16,192.53 = 7,018/x
  3. Step 3: Cross multiply
    11,733.72x = 16,192.53 × 7,018
  4. Step 4: Simplify right side
    11,733.72x = 113,639,175.54
  5. Step 5: Solve for x
    x = 113,639,175.54/11,733.72
  6. Step 6: Final answer
    x = 9,684.84

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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.