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Finding the Fourth Proportional to 11,811.34, 16,299.56 and 6,506.04

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Solution

The fourth proportional to 11,811.34, 16,299.56 and 6,506.04 is: 8,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.34 : 16,299.56 = 6,506.04 : x
  2. Step 2: Convert to fraction form
    11,811.34/16,299.56 = 6,506.04/x
  3. Step 3: Cross multiply
    11,811.34x = 16,299.56 × 6,506.04
  4. Step 4: Simplify right side
    11,811.34x = 106,045,589.34
  5. Step 5: Solve for x
    x = 106,045,589.34/11,811.34
  6. Step 6: Final answer
    x = 8,978.29

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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.