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Finding the Fourth Proportional to 8,504.56, 12,738.28 and 6,031.88

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Solution

The fourth proportional to 8,504.56, 12,738.28 and 6,031.88 is: 9,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.56 : 12,738.28 = 6,031.88 : x
  2. Step 2: Convert to fraction form
    8,504.56/12,738.28 = 6,031.88/x
  3. Step 3: Cross multiply
    8,504.56x = 12,738.28 × 6,031.88
  4. Step 4: Simplify right side
    8,504.56x = 76,835,776.37
  5. Step 5: Solve for x
    x = 76,835,776.37/8,504.56
  6. Step 6: Final answer
    x = 9,034.66

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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.