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Finding the Fourth Proportional to 7,576.84, 11,366.81 and 3,194.30

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Solution

The fourth proportional to 7,576.84, 11,366.81 and 3,194.30 is: 4,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.84 : 11,366.81 = 3,194.30 : x
  2. Step 2: Convert to fraction form
    7,576.84/11,366.81 = 3,194.30/x
  3. Step 3: Cross multiply
    7,576.84x = 11,366.81 × 3,194.30
  4. Step 4: Simplify right side
    7,576.84x = 36,308,985.21
  5. Step 5: Solve for x
    x = 36,308,985.21/7,576.84
  6. Step 6: Final answer
    x = 4,792.10

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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.