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Finding the Fourth Proportional to 11,615.94, 17,424 and 2,850.93

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Solution

The fourth proportional to 11,615.94, 17,424 and 2,850.93 is: 4,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.94 : 17,424 = 2,850.93 : x
  2. Step 2: Convert to fraction form
    11,615.94/17,424 = 2,850.93/x
  3. Step 3: Cross multiply
    11,615.94x = 17,424 × 2,850.93
  4. Step 4: Simplify right side
    11,615.94x = 49,674,604.32
  5. Step 5: Solve for x
    x = 49,674,604.32/11,615.94
  6. Step 6: Final answer
    x = 4,276.42

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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.