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Finding the Fourth Proportional to 7,450.43, 10,294.04 and 6,206.27

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Solution

The fourth proportional to 7,450.43, 10,294.04 and 6,206.27 is: 8,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.43 : 10,294.04 = 6,206.27 : x
  2. Step 2: Convert to fraction form
    7,450.43/10,294.04 = 6,206.27/x
  3. Step 3: Cross multiply
    7,450.43x = 10,294.04 × 6,206.27
  4. Step 4: Simplify right side
    7,450.43x = 63,887,591.63
  5. Step 5: Solve for x
    x = 63,887,591.63/7,450.43
  6. Step 6: Final answer
    x = 8,575.02

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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.