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Finding the Fourth Proportional to 8,548.38, 11,797.34 and 6,031.35

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Solution

The fourth proportional to 8,548.38, 11,797.34 and 6,031.35 is: 8,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.38 : 11,797.34 = 6,031.35 : x
  2. Step 2: Convert to fraction form
    8,548.38/11,797.34 = 6,031.35/x
  3. Step 3: Cross multiply
    8,548.38x = 11,797.34 × 6,031.35
  4. Step 4: Simplify right side
    8,548.38x = 71,153,856.45
  5. Step 5: Solve for x
    x = 71,153,856.45/8,548.38
  6. Step 6: Final answer
    x = 8,323.67

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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.