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Finding the Fourth Proportional to 11,796.86, 16,279.06 and 6,492.17

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Solution

The fourth proportional to 11,796.86, 16,279.06 and 6,492.17 is: 8,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.86 : 16,279.06 = 6,492.17 : x
  2. Step 2: Convert to fraction form
    11,796.86/16,279.06 = 6,492.17/x
  3. Step 3: Cross multiply
    11,796.86x = 16,279.06 × 6,492.17
  4. Step 4: Simplify right side
    11,796.86x = 105,686,424.96
  5. Step 5: Solve for x
    x = 105,686,424.96/11,796.86
  6. Step 6: Final answer
    x = 8,958.86

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