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Finding the Fourth Proportional to 11,743.92, 17,610.35 and 6,814.94

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Solution

The fourth proportional to 11,743.92, 17,610.35 and 6,814.94 is: 10,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.92 : 17,610.35 = 6,814.94 : x
  2. Step 2: Convert to fraction form
    11,743.92/17,610.35 = 6,814.94/x
  3. Step 3: Cross multiply
    11,743.92x = 17,610.35 × 6,814.94
  4. Step 4: Simplify right side
    11,743.92x = 120,013,356.50
  5. Step 5: Solve for x
    x = 120,013,356.50/11,743.92
  6. Step 6: Final answer
    x = 10,219.19

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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.