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Finding the Fourth Proportional to 11,974.27, 16,524.48 and 6,941.40

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Solution

The fourth proportional to 11,974.27, 16,524.48 and 6,941.40 is: 9,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.27 : 16,524.48 = 6,941.40 : x
  2. Step 2: Convert to fraction form
    11,974.27/16,524.48 = 6,941.40/x
  3. Step 3: Cross multiply
    11,974.27x = 16,524.48 × 6,941.40
  4. Step 4: Simplify right side
    11,974.27x = 114,703,113.47
  5. Step 5: Solve for x
    x = 114,703,113.47/11,974.27
  6. Step 6: Final answer
    x = 9,579.13

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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.