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Finding the Fourth Proportional to 11,124, 16,679.52 and 4,883.76

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Solution

The fourth proportional to 11,124, 16,679.52 and 4,883.76 is: 7,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124 : 16,679.52 = 4,883.76 : x
  2. Step 2: Convert to fraction form
    11,124/16,679.52 = 4,883.76/x
  3. Step 3: Cross multiply
    11,124x = 16,679.52 × 4,883.76
  4. Step 4: Simplify right side
    11,124x = 81,458,772.60
  5. Step 5: Solve for x
    x = 81,458,772.60/11,124
  6. Step 6: Final answer
    x = 7,322.80

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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.