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Finding the Fourth Proportional to 11,133.96, 16,704.24 and 4,209

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Solution

The fourth proportional to 11,133.96, 16,704.24 and 4,209 is: 6,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.96 : 16,704.24 = 4,209 : x
  2. Step 2: Convert to fraction form
    11,133.96/16,704.24 = 4,209/x
  3. Step 3: Cross multiply
    11,133.96x = 16,704.24 × 4,209
  4. Step 4: Simplify right side
    11,133.96x = 70,308,146.16
  5. Step 5: Solve for x
    x = 70,308,146.16/11,133.96
  6. Step 6: Final answer
    x = 6,314.75

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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.