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Finding the Fourth Proportional to 11,796.03, 16,279.25 and 6,492.02

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Solution

The fourth proportional to 11,796.03, 16,279.25 and 6,492.02 is: 8,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.03 : 16,279.25 = 6,492.02 : x
  2. Step 2: Convert to fraction form
    11,796.03/16,279.25 = 6,492.02/x
  3. Step 3: Cross multiply
    11,796.03x = 16,279.25 × 6,492.02
  4. Step 4: Simplify right side
    11,796.03x = 105,685,102.73
  5. Step 5: Solve for x
    x = 105,685,102.73/11,796.03
  6. Step 6: Final answer
    x = 8,959.38

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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.