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Finding the Fourth Proportional to 11,660.86, 17,491.47 and 6,499.54

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Solution

The fourth proportional to 11,660.86, 17,491.47 and 6,499.54 is: 9,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.86 : 17,491.47 = 6,499.54 : x
  2. Step 2: Convert to fraction form
    11,660.86/17,491.47 = 6,499.54/x
  3. Step 3: Cross multiply
    11,660.86x = 17,491.47 × 6,499.54
  4. Step 4: Simplify right side
    11,660.86x = 113,686,508.92
  5. Step 5: Solve for x
    x = 113,686,508.92/11,660.86
  6. Step 6: Final answer
    x = 9,749.41

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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.