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Finding the Fourth Proportional to 11,905.22, 16,428.56 and 6,869.14

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Solution

The fourth proportional to 11,905.22, 16,428.56 and 6,869.14 is: 9,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.22 : 16,428.56 = 6,869.14 : x
  2. Step 2: Convert to fraction form
    11,905.22/16,428.56 = 6,869.14/x
  3. Step 3: Cross multiply
    11,905.22x = 16,428.56 × 6,869.14
  4. Step 4: Simplify right side
    11,905.22x = 112,850,078.64
  5. Step 5: Solve for x
    x = 112,850,078.64/11,905.22
  6. Step 6: Final answer
    x = 9,479.04

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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.