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Finding the Fourth Proportional to 11,843.82, 16,345.26 and 7,858.08

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Solution

The fourth proportional to 11,843.82, 16,345.26 and 7,858.08 is: 10,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.82 : 16,345.26 = 7,858.08 : x
  2. Step 2: Convert to fraction form
    11,843.82/16,345.26 = 7,858.08/x
  3. Step 3: Cross multiply
    11,843.82x = 16,345.26 × 7,858.08
  4. Step 4: Simplify right side
    11,843.82x = 128,442,360.70
  5. Step 5: Solve for x
    x = 128,442,360.70/11,843.82
  6. Step 6: Final answer
    x = 10,844.67

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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.