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Finding the Fourth Proportional to 11,055, 16,582.56 and 2,847

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Solution

The fourth proportional to 11,055, 16,582.56 and 2,847 is: 4,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055 : 16,582.56 = 2,847 : x
  2. Step 2: Convert to fraction form
    11,055/16,582.56 = 2,847/x
  3. Step 3: Cross multiply
    11,055x = 16,582.56 × 2,847
  4. Step 4: Simplify right side
    11,055x = 47,210,548.32
  5. Step 5: Solve for x
    x = 47,210,548.32/11,055
  6. Step 6: Final answer
    x = 4,270.52

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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.