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Finding the Fourth Proportional to 11,886.39, 17,823.38 and 6,338.23

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Solution

The fourth proportional to 11,886.39, 17,823.38 and 6,338.23 is: 9,504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.39 : 17,823.38 = 6,338.23 : x
  2. Step 2: Convert to fraction form
    11,886.39/17,823.38 = 6,338.23/x
  3. Step 3: Cross multiply
    11,886.39x = 17,823.38 × 6,338.23
  4. Step 4: Simplify right side
    11,886.39x = 112,968,653.10
  5. Step 5: Solve for x
    x = 112,968,653.10/11,886.39
  6. Step 6: Final answer
    x = 9,504.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.