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Finding the Fourth Proportional to 11,114.67, 16,674.80 and 3,323.46

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Solution

The fourth proportional to 11,114.67, 16,674.80 and 3,323.46 is: 4,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.67 : 16,674.80 = 3,323.46 : x
  2. Step 2: Convert to fraction form
    11,114.67/16,674.80 = 3,323.46/x
  3. Step 3: Cross multiply
    11,114.67x = 16,674.80 × 3,323.46
  4. Step 4: Simplify right side
    11,114.67x = 55,418,014.19
  5. Step 5: Solve for x
    x = 55,418,014.19/11,114.67
  6. Step 6: Final answer
    x = 4,986.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.