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Finding the Fourth Proportional to 11,267, 16,900.48 and 3,873.60

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Solution

The fourth proportional to 11,267, 16,900.48 and 3,873.60 is: 5,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267 : 16,900.48 = 3,873.60 : x
  2. Step 2: Convert to fraction form
    11,267/16,900.48 = 3,873.60/x
  3. Step 3: Cross multiply
    11,267x = 16,900.48 × 3,873.60
  4. Step 4: Simplify right side
    11,267x = 65,465,699.33
  5. Step 5: Solve for x
    x = 65,465,699.33/11,267
  6. Step 6: Final answer
    x = 5,810.39

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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.