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Finding the Fourth Proportional to 11,827.09, 16,321.53 and 7,841.08

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Solution

The fourth proportional to 11,827.09, 16,321.53 and 7,841.08 is: 10,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.09 : 16,321.53 = 7,841.08 : x
  2. Step 2: Convert to fraction form
    11,827.09/16,321.53 = 7,841.08/x
  3. Step 3: Cross multiply
    11,827.09x = 16,321.53 × 7,841.08
  4. Step 4: Simplify right side
    11,827.09x = 127,978,422.45
  5. Step 5: Solve for x
    x = 127,978,422.45/11,827.09
  6. Step 6: Final answer
    x = 10,820.79

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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.