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Finding the Fourth Proportional to 11,674.70, 16,110.46 and 6,638.23

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Solution

The fourth proportional to 11,674.70, 16,110.46 and 6,638.23 is: 9,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.70 : 16,110.46 = 6,638.23 : x
  2. Step 2: Convert to fraction form
    11,674.70/16,110.46 = 6,638.23/x
  3. Step 3: Cross multiply
    11,674.70x = 16,110.46 × 6,638.23
  4. Step 4: Simplify right side
    11,674.70x = 106,944,938.89
  5. Step 5: Solve for x
    x = 106,944,938.89/11,674.70
  6. Step 6: Final answer
    x = 9,160.40

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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.