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Finding the Fourth Proportional to 11,717.54, 16,165.68 and 7,233.50

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Solution

The fourth proportional to 11,717.54, 16,165.68 and 7,233.50 is: 9,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.54 : 16,165.68 = 7,233.50 : x
  2. Step 2: Convert to fraction form
    11,717.54/16,165.68 = 7,233.50/x
  3. Step 3: Cross multiply
    11,717.54x = 16,165.68 × 7,233.50
  4. Step 4: Simplify right side
    11,717.54x = 116,934,446.28
  5. Step 5: Solve for x
    x = 116,934,446.28/11,717.54
  6. Step 6: Final answer
    x = 9,979.44

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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.