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Finding the Fourth Proportional to 11,841.42, 16,339.21 and 6,804.57

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Solution

The fourth proportional to 11,841.42, 16,339.21 and 6,804.57 is: 9,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.42 : 16,339.21 = 6,804.57 : x
  2. Step 2: Convert to fraction form
    11,841.42/16,339.21 = 6,804.57/x
  3. Step 3: Cross multiply
    11,841.42x = 16,339.21 × 6,804.57
  4. Step 4: Simplify right side
    11,841.42x = 111,181,342.45
  5. Step 5: Solve for x
    x = 111,181,342.45/11,841.42
  6. Step 6: Final answer
    x = 9,389.19

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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.