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Finding the Fourth Proportional to 11,794.03, 16,276.62 and 6,489.07

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Solution

The fourth proportional to 11,794.03, 16,276.62 and 6,489.07 is: 8,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.03 : 16,276.62 = 6,489.07 : x
  2. Step 2: Convert to fraction form
    11,794.03/16,276.62 = 6,489.07/x
  3. Step 3: Cross multiply
    11,794.03x = 16,276.62 × 6,489.07
  4. Step 4: Simplify right side
    11,794.03x = 105,620,126.54
  5. Step 5: Solve for x
    x = 105,620,126.54/11,794.03
  6. Step 6: Final answer
    x = 8,955.39

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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.