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Finding the Fourth Proportional to 12,527.82, 17,286.36 and 7,494.12

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Solution

The fourth proportional to 12,527.82, 17,286.36 and 7,494.12 is: 10,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.82 : 17,286.36 = 7,494.12 : x
  2. Step 2: Convert to fraction form
    12,527.82/17,286.36 = 7,494.12/x
  3. Step 3: Cross multiply
    12,527.82x = 17,286.36 × 7,494.12
  4. Step 4: Simplify right side
    12,527.82x = 129,546,056.20
  5. Step 5: Solve for x
    x = 129,546,056.20/12,527.82
  6. Step 6: Final answer
    x = 10,340.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.