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Finding the Fourth Proportional to 11,858.05, 16,364.60 and 6,822.28

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Solution

The fourth proportional to 11,858.05, 16,364.60 and 6,822.28 is: 9,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.05 : 16,364.60 = 6,822.28 : x
  2. Step 2: Convert to fraction form
    11,858.05/16,364.60 = 6,822.28/x
  3. Step 3: Cross multiply
    11,858.05x = 16,364.60 × 6,822.28
  4. Step 4: Simplify right side
    11,858.05x = 111,643,883.29
  5. Step 5: Solve for x
    x = 111,643,883.29/11,858.05
  6. Step 6: Final answer
    x = 9,415.03

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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.