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Finding the Fourth Proportional to 10,279.80, 14,188.82 and 6,031.49

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Solution

The fourth proportional to 10,279.80, 14,188.82 and 6,031.49 is: 8,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.80 : 14,188.82 = 6,031.49 : x
  2. Step 2: Convert to fraction form
    10,279.80/14,188.82 = 6,031.49/x
  3. Step 3: Cross multiply
    10,279.80x = 14,188.82 × 6,031.49
  4. Step 4: Simplify right side
    10,279.80x = 85,579,624.84
  5. Step 5: Solve for x
    x = 85,579,624.84/10,279.80
  6. Step 6: Final answer
    x = 8,325.03

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