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Finding the Fourth Proportional to 8,243.54, 11,369.46 and 7,246.70

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Solution

The fourth proportional to 8,243.54, 11,369.46 and 7,246.70 is: 9,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.54 : 11,369.46 = 7,246.70 : x
  2. Step 2: Convert to fraction form
    8,243.54/11,369.46 = 7,246.70/x
  3. Step 3: Cross multiply
    8,243.54x = 11,369.46 × 7,246.70
  4. Step 4: Simplify right side
    8,243.54x = 82,391,065.78
  5. Step 5: Solve for x
    x = 82,391,065.78/8,243.54
  6. Step 6: Final answer
    x = 9,994.62

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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.