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Finding the Fourth Proportional to 11,958.41, 16,525.37 and 8,969.06

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Solution

The fourth proportional to 11,958.41, 16,525.37 and 8,969.06 is: 12,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.41 : 16,525.37 = 8,969.06 : x
  2. Step 2: Convert to fraction form
    11,958.41/16,525.37 = 8,969.06/x
  3. Step 3: Cross multiply
    11,958.41x = 16,525.37 × 8,969.06
  4. Step 4: Simplify right side
    11,958.41x = 148,216,955.38
  5. Step 5: Solve for x
    x = 148,216,955.38/11,958.41
  6. Step 6: Final answer
    x = 12,394.37

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Why These Related Problems?

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