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Finding the Fourth Proportional to 11,468.88, 17,211 and 4,896.60

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Solution

The fourth proportional to 11,468.88, 17,211 and 4,896.60 is: 7,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.88 : 17,211 = 4,896.60 : x
  2. Step 2: Convert to fraction form
    11,468.88/17,211 = 4,896.60/x
  3. Step 3: Cross multiply
    11,468.88x = 17,211 × 4,896.60
  4. Step 4: Simplify right side
    11,468.88x = 84,275,382.60
  5. Step 5: Solve for x
    x = 84,275,382.60/11,468.88
  6. Step 6: Final answer
    x = 7,348.18

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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.