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Finding the Fourth Proportional to 11,659.28, 16,078.38 and 9,137.48

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Solution

The fourth proportional to 11,659.28, 16,078.38 and 9,137.48 is: 12,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.28 : 16,078.38 = 9,137.48 : x
  2. Step 2: Convert to fraction form
    11,659.28/16,078.38 = 9,137.48/x
  3. Step 3: Cross multiply
    11,659.28x = 16,078.38 × 9,137.48
  4. Step 4: Simplify right side
    11,659.28x = 146,915,875.68
  5. Step 5: Solve for x
    x = 146,915,875.68/11,659.28
  6. Step 6: Final answer
    x = 12,600.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.