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Finding the Fourth Proportional to 12,527.18, 18,793.50 and 3,762.78

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Solution

The fourth proportional to 12,527.18, 18,793.50 and 3,762.78 is: 5,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.18 : 18,793.50 = 3,762.78 : x
  2. Step 2: Convert to fraction form
    12,527.18/18,793.50 = 3,762.78/x
  3. Step 3: Cross multiply
    12,527.18x = 18,793.50 × 3,762.78
  4. Step 4: Simplify right side
    12,527.18x = 70,715,805.93
  5. Step 5: Solve for x
    x = 70,715,805.93/12,527.18
  6. Step 6: Final answer
    x = 5,644.99

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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.