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Finding the Fourth Proportional to 11,056, 16,584.06 and 2,848

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Solution

The fourth proportional to 11,056, 16,584.06 and 2,848 is: 4,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056 : 16,584.06 = 2,848 : x
  2. Step 2: Convert to fraction form
    11,056/16,584.06 = 2,848/x
  3. Step 3: Cross multiply
    11,056x = 16,584.06 × 2,848
  4. Step 4: Simplify right side
    11,056x = 47,231,402.88
  5. Step 5: Solve for x
    x = 47,231,402.88/11,056
  6. Step 6: Final answer
    x = 4,272.02

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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.