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Finding the Fourth Proportional to 11,282.39, 16,917.39 and 8,957.32

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Solution

The fourth proportional to 11,282.39, 16,917.39 and 8,957.32 is: 13,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.39 : 16,917.39 = 8,957.32 : x
  2. Step 2: Convert to fraction form
    11,282.39/16,917.39 = 8,957.32/x
  3. Step 3: Cross multiply
    11,282.39x = 16,917.39 × 8,957.32
  4. Step 4: Simplify right side
    11,282.39x = 151,534,433.50
  5. Step 5: Solve for x
    x = 151,534,433.50/11,282.39
  6. Step 6: Final answer
    x = 13,431.06

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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.