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Finding the Fourth Proportional to 11,106, 16,661.20 and 5,843.52

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Solution

The fourth proportional to 11,106, 16,661.20 and 5,843.52 is: 8,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 16,661.20 = 5,843.52 : x
  2. Step 2: Convert to fraction form
    11,106/16,661.20 = 5,843.52/x
  3. Step 3: Cross multiply
    11,106x = 16,661.20 × 5,843.52
  4. Step 4: Simplify right side
    11,106x = 97,360,055.42
  5. Step 5: Solve for x
    x = 97,360,055.42/11,106
  6. Step 6: Final answer
    x = 8,766.44

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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.