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Finding the Fourth Proportional to 12,527.01, 18,797.81 and 4,736.43

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Solution

The fourth proportional to 12,527.01, 18,797.81 and 4,736.43 is: 7,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.01 : 18,797.81 = 4,736.43 : x
  2. Step 2: Convert to fraction form
    12,527.01/18,797.81 = 4,736.43/x
  3. Step 3: Cross multiply
    12,527.01x = 18,797.81 × 4,736.43
  4. Step 4: Simplify right side
    12,527.01x = 89,034,487.54
  5. Step 5: Solve for x
    x = 89,034,487.54/12,527.01
  6. Step 6: Final answer
    x = 7,107.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.