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Finding the Fourth Proportional to 7,446.81, 11,170.62 and 3,744.70

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Solution

The fourth proportional to 7,446.81, 11,170.62 and 3,744.70 is: 5,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.81 : 11,170.62 = 3,744.70 : x
  2. Step 2: Convert to fraction form
    7,446.81/11,170.62 = 3,744.70/x
  3. Step 3: Cross multiply
    7,446.81x = 11,170.62 × 3,744.70
  4. Step 4: Simplify right side
    7,446.81x = 41,830,620.71
  5. Step 5: Solve for x
    x = 41,830,620.71/7,446.81
  6. Step 6: Final answer
    x = 5,617.25

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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.