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Finding the Fourth Proportional to 11,796.10, 16,278.88 and 6,491.20

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Solution

The fourth proportional to 11,796.10, 16,278.88 and 6,491.20 is: 8,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.10 : 16,278.88 = 6,491.20 : x
  2. Step 2: Convert to fraction form
    11,796.10/16,278.88 = 6,491.20/x
  3. Step 3: Cross multiply
    11,796.10x = 16,278.88 × 6,491.20
  4. Step 4: Simplify right side
    11,796.10x = 105,669,465.86
  5. Step 5: Solve for x
    x = 105,669,465.86/11,796.10
  6. Step 6: Final answer
    x = 8,958.00

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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.