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Finding the Fourth Proportional to 11,650.98, 15,969.92 and 11,486.94

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Solution

The fourth proportional to 11,650.98, 15,969.92 and 11,486.94 is: 15,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.98 : 15,969.92 = 11,486.94 : x
  2. Step 2: Convert to fraction form
    11,650.98/15,969.92 = 11,486.94/x
  3. Step 3: Cross multiply
    11,650.98x = 15,969.92 × 11,486.94
  4. Step 4: Simplify right side
    11,650.98x = 183,445,455.41
  5. Step 5: Solve for x
    x = 183,445,455.41/11,650.98
  6. Step 6: Final answer
    x = 15,745.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.