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Finding the Fourth Proportional to 11,896.67, 16,417.69 and 6,861.11

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Solution

The fourth proportional to 11,896.67, 16,417.69 and 6,861.11 is: 9,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.67 : 16,417.69 = 6,861.11 : x
  2. Step 2: Convert to fraction form
    11,896.67/16,417.69 = 6,861.11/x
  3. Step 3: Cross multiply
    11,896.67x = 16,417.69 × 6,861.11
  4. Step 4: Simplify right side
    11,896.67x = 112,643,477.79
  5. Step 5: Solve for x
    x = 112,643,477.79/11,896.67
  6. Step 6: Final answer
    x = 9,468.49

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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.