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Finding the Fourth Proportional to 11,601.78, 17,402.67 and 7,013.94

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Solution

The fourth proportional to 11,601.78, 17,402.67 and 7,013.94 is: 10,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.78 : 17,402.67 = 7,013.94 : x
  2. Step 2: Convert to fraction form
    11,601.78/17,402.67 = 7,013.94/x
  3. Step 3: Cross multiply
    11,601.78x = 17,402.67 × 7,013.94
  4. Step 4: Simplify right side
    11,601.78x = 122,061,283.22
  5. Step 5: Solve for x
    x = 122,061,283.22/11,601.78
  6. Step 6: Final answer
    x = 10,520.91

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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.