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Finding the Fourth Proportional to 11,517.44, 15,893.76 and 6,482.24

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Solution

The fourth proportional to 11,517.44, 15,893.76 and 6,482.24 is: 8,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.44 : 15,893.76 = 6,482.24 : x
  2. Step 2: Convert to fraction form
    11,517.44/15,893.76 = 6,482.24/x
  3. Step 3: Cross multiply
    11,517.44x = 15,893.76 × 6,482.24
  4. Step 4: Simplify right side
    11,517.44x = 103,027,166.82
  5. Step 5: Solve for x
    x = 103,027,166.82/11,517.44
  6. Step 6: Final answer
    x = 8,945.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.