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Finding the Fourth Proportional to 11,881.67, 16,394.96 and 6,576.46

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Solution

The fourth proportional to 11,881.67, 16,394.96 and 6,576.46 is: 9,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.67 : 16,394.96 = 6,576.46 : x
  2. Step 2: Convert to fraction form
    11,881.67/16,394.96 = 6,576.46/x
  3. Step 3: Cross multiply
    11,881.67x = 16,394.96 × 6,576.46
  4. Step 4: Simplify right side
    11,881.67x = 107,820,774.10
  5. Step 5: Solve for x
    x = 107,820,774.10/11,881.67
  6. Step 6: Final answer
    x = 9,074.55

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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.