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Finding the Fourth Proportional to 11,511.81, 15,893.09 and 10,847.52

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Solution

The fourth proportional to 11,511.81, 15,893.09 and 10,847.52 is: 14,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.81 : 15,893.09 = 10,847.52 : x
  2. Step 2: Convert to fraction form
    11,511.81/15,893.09 = 10,847.52/x
  3. Step 3: Cross multiply
    11,511.81x = 15,893.09 × 10,847.52
  4. Step 4: Simplify right side
    11,511.81x = 172,400,611.64
  5. Step 5: Solve for x
    x = 172,400,611.64/11,511.81
  6. Step 6: Final answer
    x = 14,975.98

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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.