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Finding the Fourth Proportional to 11,076.26, 16,614.38 and 3,285

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Solution

The fourth proportional to 11,076.26, 16,614.38 and 3,285 is: 4,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.26 : 16,614.38 = 3,285 : x
  2. Step 2: Convert to fraction form
    11,076.26/16,614.38 = 3,285/x
  3. Step 3: Cross multiply
    11,076.26x = 16,614.38 × 3,285
  4. Step 4: Simplify right side
    11,076.26x = 54,578,246.51
  5. Step 5: Solve for x
    x = 54,578,246.51/11,076.26
  6. Step 6: Final answer
    x = 4,927.50

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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.