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Finding the Fourth Proportional to 7,622.83, 11,428.09 and 7,007.74

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Solution

The fourth proportional to 7,622.83, 11,428.09 and 7,007.74 is: 10,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.83 : 11,428.09 = 7,007.74 : x
  2. Step 2: Convert to fraction form
    7,622.83/11,428.09 = 7,007.74/x
  3. Step 3: Cross multiply
    7,622.83x = 11,428.09 × 7,007.74
  4. Step 4: Simplify right side
    7,622.83x = 80,085,083.42
  5. Step 5: Solve for x
    x = 80,085,083.42/7,622.83
  6. Step 6: Final answer
    x = 10,505.95

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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.