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Finding the Fourth Proportional to 11,657.43, 17,485.88 and 5,083.47

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Solution

The fourth proportional to 11,657.43, 17,485.88 and 5,083.47 is: 7,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.43 : 17,485.88 = 5,083.47 : x
  2. Step 2: Convert to fraction form
    11,657.43/17,485.88 = 5,083.47/x
  3. Step 3: Cross multiply
    11,657.43x = 17,485.88 × 5,083.47
  4. Step 4: Simplify right side
    11,657.43x = 88,888,920.99
  5. Step 5: Solve for x
    x = 88,888,920.99/11,657.43
  6. Step 6: Final answer
    x = 7,625.09

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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.