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Finding the Fourth Proportional to 7,576.16, 11,364.44 and 2,645.82

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Solution

The fourth proportional to 7,576.16, 11,364.44 and 2,645.82 is: 3,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.16 : 11,364.44 = 2,645.82 : x
  2. Step 2: Convert to fraction form
    7,576.16/11,364.44 = 2,645.82/x
  3. Step 3: Cross multiply
    7,576.16x = 11,364.44 × 2,645.82
  4. Step 4: Simplify right side
    7,576.16x = 30,068,249.41
  5. Step 5: Solve for x
    x = 30,068,249.41/7,576.16
  6. Step 6: Final answer
    x = 3,968.80

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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.