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Finding the Fourth Proportional to 10,511.88, 15,772.48 and 5,580.33

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Solution

The fourth proportional to 10,511.88, 15,772.48 and 5,580.33 is: 8,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.88 : 15,772.48 = 5,580.33 : x
  2. Step 2: Convert to fraction form
    10,511.88/15,772.48 = 5,580.33/x
  3. Step 3: Cross multiply
    10,511.88x = 15,772.48 × 5,580.33
  4. Step 4: Simplify right side
    10,511.88x = 88,015,629.37
  5. Step 5: Solve for x
    x = 88,015,629.37/10,511.88
  6. Step 6: Final answer
    x = 8,372.97

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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.