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Finding the Fourth Proportional to 11,954.52, 17,911.26 and 6,688.40

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Solution

The fourth proportional to 11,954.52, 17,911.26 and 6,688.40 is: 10,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.52 : 17,911.26 = 6,688.40 : x
  2. Step 2: Convert to fraction form
    11,954.52/17,911.26 = 6,688.40/x
  3. Step 3: Cross multiply
    11,954.52x = 17,911.26 × 6,688.40
  4. Step 4: Simplify right side
    11,954.52x = 119,797,581.83
  5. Step 5: Solve for x
    x = 119,797,581.83/11,954.52
  6. Step 6: Final answer
    x = 10,021.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.