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Finding the Fourth Proportional to 11,941.48, 16,474.98 and 8,209

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Solution

The fourth proportional to 11,941.48, 16,474.98 and 8,209 is: 11,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.48 : 16,474.98 = 8,209 : x
  2. Step 2: Convert to fraction form
    11,941.48/16,474.98 = 8,209/x
  3. Step 3: Cross multiply
    11,941.48x = 16,474.98 × 8,209
  4. Step 4: Simplify right side
    11,941.48x = 135,243,110.82
  5. Step 5: Solve for x
    x = 135,243,110.82/11,941.48
  6. Step 6: Final answer
    x = 11,325.49

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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.