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Finding the Fourth Proportional to 11,980.92, 16,534.40 and 6,675.96

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Solution

The fourth proportional to 11,980.92, 16,534.40 and 6,675.96 is: 9,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.92 : 16,534.40 = 6,675.96 : x
  2. Step 2: Convert to fraction form
    11,980.92/16,534.40 = 6,675.96/x
  3. Step 3: Cross multiply
    11,980.92x = 16,534.40 × 6,675.96
  4. Step 4: Simplify right side
    11,980.92x = 110,382,993.02
  5. Step 5: Solve for x
    x = 110,382,993.02/11,980.92
  6. Step 6: Final answer
    x = 9,213.23

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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.