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Finding the Fourth Proportional to 11,077.76, 16,616.64 and 3,286.50

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Solution

The fourth proportional to 11,077.76, 16,616.64 and 3,286.50 is: 4,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.76 : 16,616.64 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    11,077.76/16,616.64 = 3,286.50/x
  3. Step 3: Cross multiply
    11,077.76x = 16,616.64 × 3,286.50
  4. Step 4: Simplify right side
    11,077.76x = 54,610,587.36
  5. Step 5: Solve for x
    x = 54,610,587.36/11,077.76
  6. Step 6: Final answer
    x = 4,929.75

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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.