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Finding the Fourth Proportional to 8,961.09, 13,402.34 and 7,980.82

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Solution

The fourth proportional to 8,961.09, 13,402.34 and 7,980.82 is: 11,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.09 : 13,402.34 = 7,980.82 : x
  2. Step 2: Convert to fraction form
    8,961.09/13,402.34 = 7,980.82/x
  3. Step 3: Cross multiply
    8,961.09x = 13,402.34 × 7,980.82
  4. Step 4: Simplify right side
    8,961.09x = 106,961,623.21
  5. Step 5: Solve for x
    x = 106,961,623.21/8,961.09
  6. Step 6: Final answer
    x = 11,936.23

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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.