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Finding the Fourth Proportional to 11,905.18, 16,425.89 and 7,123.19

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Solution

The fourth proportional to 11,905.18, 16,425.89 and 7,123.19 is: 9,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.18 : 16,425.89 = 7,123.19 : x
  2. Step 2: Convert to fraction form
    11,905.18/16,425.89 = 7,123.19/x
  3. Step 3: Cross multiply
    11,905.18x = 16,425.89 × 7,123.19
  4. Step 4: Simplify right side
    11,905.18x = 117,004,736.75
  5. Step 5: Solve for x
    x = 117,004,736.75/11,905.18
  6. Step 6: Final answer
    x = 9,828.05

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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.