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Finding the Fourth Proportional to 11,546.37, 15,933.98 and 6,511.82

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Solution

The fourth proportional to 11,546.37, 15,933.98 and 6,511.82 is: 8,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.37 : 15,933.98 = 6,511.82 : x
  2. Step 2: Convert to fraction form
    11,546.37/15,933.98 = 6,511.82/x
  3. Step 3: Cross multiply
    11,546.37x = 15,933.98 × 6,511.82
  4. Step 4: Simplify right side
    11,546.37x = 103,759,146.25
  5. Step 5: Solve for x
    x = 103,759,146.25/11,546.37
  6. Step 6: Final answer
    x = 8,986.30

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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.