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Finding the Fourth Proportional to 11,969.29, 17,953.94 and 4,072.60

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Solution

The fourth proportional to 11,969.29, 17,953.94 and 4,072.60 is: 6,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.29 : 17,953.94 = 4,072.60 : x
  2. Step 2: Convert to fraction form
    11,969.29/17,953.94 = 4,072.60/x
  3. Step 3: Cross multiply
    11,969.29x = 17,953.94 × 4,072.60
  4. Step 4: Simplify right side
    11,969.29x = 73,119,216.04
  5. Step 5: Solve for x
    x = 73,119,216.04/11,969.29
  6. Step 6: Final answer
    x = 6,108.90

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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.