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Finding the Fourth Proportional to 10,279.53, 14,185.22 and 6,030

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Solution

The fourth proportional to 10,279.53, 14,185.22 and 6,030 is: 8,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.53 : 14,185.22 = 6,030 : x
  2. Step 2: Convert to fraction form
    10,279.53/14,185.22 = 6,030/x
  3. Step 3: Cross multiply
    10,279.53x = 14,185.22 × 6,030
  4. Step 4: Simplify right side
    10,279.53x = 85,536,846.45
  5. Step 5: Solve for x
    x = 85,536,846.45/10,279.53
  6. Step 6: Final answer
    x = 8,321.09

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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.