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Finding the Fourth Proportional to 11,937.26, 17,907.71 and 5,697.02

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Solution

The fourth proportional to 11,937.26, 17,907.71 and 5,697.02 is: 8,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.26 : 17,907.71 = 5,697.02 : x
  2. Step 2: Convert to fraction form
    11,937.26/17,907.71 = 5,697.02/x
  3. Step 3: Cross multiply
    11,937.26x = 17,907.71 × 5,697.02
  4. Step 4: Simplify right side
    11,937.26x = 102,020,464.00
  5. Step 5: Solve for x
    x = 102,020,464.00/11,937.26
  6. Step 6: Final answer
    x = 8,546.39

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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.