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Finding the Fourth Proportional to 11,889.81, 16,409.97 and 6,853.14

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Solution

The fourth proportional to 11,889.81, 16,409.97 and 6,853.14 is: 9,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.81 : 16,409.97 = 6,853.14 : x
  2. Step 2: Convert to fraction form
    11,889.81/16,409.97 = 6,853.14/x
  3. Step 3: Cross multiply
    11,889.81x = 16,409.97 × 6,853.14
  4. Step 4: Simplify right side
    11,889.81x = 112,459,821.81
  5. Step 5: Solve for x
    x = 112,459,821.81/11,889.81
  6. Step 6: Final answer
    x = 9,458.50

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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.