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Finding the Fourth Proportional to 11,811.35, 16,299.06 and 6,506.06

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Solution

The fourth proportional to 11,811.35, 16,299.06 and 6,506.06 is: 8,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.35 : 16,299.06 = 6,506.06 : x
  2. Step 2: Convert to fraction form
    11,811.35/16,299.06 = 6,506.06/x
  3. Step 3: Cross multiply
    11,811.35x = 16,299.06 × 6,506.06
  4. Step 4: Simplify right side
    11,811.35x = 106,042,580.81
  5. Step 5: Solve for x
    x = 106,042,580.81/11,811.35
  6. Step 6: Final answer
    x = 8,978.03

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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.