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Finding the Fourth Proportional to 11,891.20, 17,847.76 and 6,052

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Solution

The fourth proportional to 11,891.20, 17,847.76 and 6,052 is: 9,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.20 : 17,847.76 = 6,052 : x
  2. Step 2: Convert to fraction form
    11,891.20/17,847.76 = 6,052/x
  3. Step 3: Cross multiply
    11,891.20x = 17,847.76 × 6,052
  4. Step 4: Simplify right side
    11,891.20x = 108,014,643.52
  5. Step 5: Solve for x
    x = 108,014,643.52/11,891.20
  6. Step 6: Final answer
    x = 9,083.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.