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Finding the Fourth Proportional to 12,528.74, 18,796.80 and 3,765

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Solution

The fourth proportional to 12,528.74, 18,796.80 and 3,765 is: 5,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528.74 : 18,796.80 = 3,765 : x
  2. Step 2: Convert to fraction form
    12,528.74/18,796.80 = 3,765/x
  3. Step 3: Cross multiply
    12,528.74x = 18,796.80 × 3,765
  4. Step 4: Simplify right side
    12,528.74x = 70,769,952
  5. Step 5: Solve for x
    x = 70,769,952/12,528.74
  6. Step 6: Final answer
    x = 5,648.61

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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.