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Finding the Fourth Proportional to 11,674.67, 16,111.04 and 6,369.50

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Solution

The fourth proportional to 11,674.67, 16,111.04 and 6,369.50 is: 8,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.67 : 16,111.04 = 6,369.50 : x
  2. Step 2: Convert to fraction form
    11,674.67/16,111.04 = 6,369.50/x
  3. Step 3: Cross multiply
    11,674.67x = 16,111.04 × 6,369.50
  4. Step 4: Simplify right side
    11,674.67x = 102,619,277.71
  5. Step 5: Solve for x
    x = 102,619,277.71/11,674.67
  6. Step 6: Final answer
    x = 8,789.91

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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.