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Finding the Fourth Proportional to 4,651.05, 6,963.39 and 4,213.11

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Solution

The fourth proportional to 4,651.05, 6,963.39 and 4,213.11 is: 6,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.05 : 6,963.39 = 4,213.11 : x
  2. Step 2: Convert to fraction form
    4,651.05/6,963.39 = 4,213.11/x
  3. Step 3: Cross multiply
    4,651.05x = 6,963.39 × 4,213.11
  4. Step 4: Simplify right side
    4,651.05x = 29,337,528.04
  5. Step 5: Solve for x
    x = 29,337,528.04/4,651.05
  6. Step 6: Final answer
    x = 6,307.72

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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.