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Finding the Fourth Proportional to 11,697.68, 17,537.40 and 5,851.28

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Solution

The fourth proportional to 11,697.68, 17,537.40 and 5,851.28 is: 8,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.68 : 17,537.40 = 5,851.28 : x
  2. Step 2: Convert to fraction form
    11,697.68/17,537.40 = 5,851.28/x
  3. Step 3: Cross multiply
    11,697.68x = 17,537.40 × 5,851.28
  4. Step 4: Simplify right side
    11,697.68x = 102,616,237.87
  5. Step 5: Solve for x
    x = 102,616,237.87/11,697.68
  6. Step 6: Final answer
    x = 8,772.36

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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.