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Finding the Fourth Proportional to 12,527.67, 18,793.13 and 3,763.47

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Solution

The fourth proportional to 12,527.67, 18,793.13 and 3,763.47 is: 5,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.67 : 18,793.13 = 3,763.47 : x
  2. Step 2: Convert to fraction form
    12,527.67/18,793.13 = 3,763.47/x
  3. Step 3: Cross multiply
    12,527.67x = 18,793.13 × 3,763.47
  4. Step 4: Simplify right side
    12,527.67x = 70,727,362.14
  5. Step 5: Solve for x
    x = 70,727,362.14/12,527.67
  6. Step 6: Final answer
    x = 5,645.69

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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.