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Finding the Fourth Proportional to 8,031.40, 12,047.10 and 7,213.30

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Solution

The fourth proportional to 8,031.40, 12,047.10 and 7,213.30 is: 10,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.40 : 12,047.10 = 7,213.30 : x
  2. Step 2: Convert to fraction form
    8,031.40/12,047.10 = 7,213.30/x
  3. Step 3: Cross multiply
    8,031.40x = 12,047.10 × 7,213.30
  4. Step 4: Simplify right side
    8,031.40x = 86,899,346.43
  5. Step 5: Solve for x
    x = 86,899,346.43/8,031.40
  6. Step 6: Final answer
    x = 10,819.95

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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.