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Finding the Fourth Proportional to 11,828, 16,322.76 and 7,112.36

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Solution

The fourth proportional to 11,828, 16,322.76 and 7,112.36 is: 9,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828 : 16,322.76 = 7,112.36 : x
  2. Step 2: Convert to fraction form
    11,828/16,322.76 = 7,112.36/x
  3. Step 3: Cross multiply
    11,828x = 16,322.76 × 7,112.36
  4. Step 4: Simplify right side
    11,828x = 116,093,345.31
  5. Step 5: Solve for x
    x = 116,093,345.31/11,828
  6. Step 6: Final answer
    x = 9,815.13

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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.