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Finding the Fourth Proportional to 11,984.88, 16,541.26 and 7,741.20

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Solution

The fourth proportional to 11,984.88, 16,541.26 and 7,741.20 is: 10,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.88 : 16,541.26 = 7,741.20 : x
  2. Step 2: Convert to fraction form
    11,984.88/16,541.26 = 7,741.20/x
  3. Step 3: Cross multiply
    11,984.88x = 16,541.26 × 7,741.20
  4. Step 4: Simplify right side
    11,984.88x = 128,049,201.91
  5. Step 5: Solve for x
    x = 128,049,201.91/11,984.88
  6. Step 6: Final answer
    x = 10,684.23

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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.