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Finding the Fourth Proportional to 11,896.34, 16,420.32 and 7,180.92

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Solution

The fourth proportional to 11,896.34, 16,420.32 and 7,180.92 is: 9,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.34 : 16,420.32 = 7,180.92 : x
  2. Step 2: Convert to fraction form
    11,896.34/16,420.32 = 7,180.92/x
  3. Step 3: Cross multiply
    11,896.34x = 16,420.32 × 7,180.92
  4. Step 4: Simplify right side
    11,896.34x = 117,913,004.29
  5. Step 5: Solve for x
    x = 117,913,004.29/11,896.34
  6. Step 6: Final answer
    x = 9,911.71

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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.