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Finding the Fourth Proportional to 7,817.57, 11,724.46 and 2,269.41

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Solution

The fourth proportional to 7,817.57, 11,724.46 and 2,269.41 is: 3,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.57 : 11,724.46 = 2,269.41 : x
  2. Step 2: Convert to fraction form
    7,817.57/11,724.46 = 2,269.41/x
  3. Step 3: Cross multiply
    7,817.57x = 11,724.46 × 2,269.41
  4. Step 4: Simplify right side
    7,817.57x = 26,607,606.77
  5. Step 5: Solve for x
    x = 26,607,606.77/7,817.57
  6. Step 6: Final answer
    x = 3,403.56

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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.