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Finding the Fourth Proportional to 11,846.44, 16,342.19 and 7,063.01

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Solution

The fourth proportional to 11,846.44, 16,342.19 and 7,063.01 is: 9,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.44 : 16,342.19 = 7,063.01 : x
  2. Step 2: Convert to fraction form
    11,846.44/16,342.19 = 7,063.01/x
  3. Step 3: Cross multiply
    11,846.44x = 16,342.19 × 7,063.01
  4. Step 4: Simplify right side
    11,846.44x = 115,425,114.06
  5. Step 5: Solve for x
    x = 115,425,114.06/11,846.44
  6. Step 6: Final answer
    x = 9,743.44

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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.