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Finding the Fourth Proportional to 11,888.04, 16,480.56 and 11,256

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Solution

The fourth proportional to 11,888.04, 16,480.56 and 11,256 is: 15,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.04 : 16,480.56 = 11,256 : x
  2. Step 2: Convert to fraction form
    11,888.04/16,480.56 = 11,256/x
  3. Step 3: Cross multiply
    11,888.04x = 16,480.56 × 11,256
  4. Step 4: Simplify right side
    11,888.04x = 185,505,183.36
  5. Step 5: Solve for x
    x = 185,505,183.36/11,888.04
  6. Step 6: Final answer
    x = 15,604.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.