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Finding the Fourth Proportional to 7,627.66, 11,443.50 and 2,362.54

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Solution

The fourth proportional to 7,627.66, 11,443.50 and 2,362.54 is: 3,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.66 : 11,443.50 = 2,362.54 : x
  2. Step 2: Convert to fraction form
    7,627.66/11,443.50 = 2,362.54/x
  3. Step 3: Cross multiply
    7,627.66x = 11,443.50 × 2,362.54
  4. Step 4: Simplify right side
    7,627.66x = 27,035,726.49
  5. Step 5: Solve for x
    x = 27,035,726.49/7,627.66
  6. Step 6: Final answer
    x = 3,544.43

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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.