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Finding the Fourth Proportional to 11,973.29, 17,976.50 and 8,266.37

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Solution

The fourth proportional to 11,973.29, 17,976.50 and 8,266.37 is: 12,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.29 : 17,976.50 = 8,266.37 : x
  2. Step 2: Convert to fraction form
    11,973.29/17,976.50 = 8,266.37/x
  3. Step 3: Cross multiply
    11,973.29x = 17,976.50 × 8,266.37
  4. Step 4: Simplify right side
    11,973.29x = 148,600,400.31
  5. Step 5: Solve for x
    x = 148,600,400.31/11,973.29
  6. Step 6: Final answer
    x = 12,410.99

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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.