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Finding the Fourth Proportional to 7,416.46, 10,234.74 and 4,229.62

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Solution

The fourth proportional to 7,416.46, 10,234.74 and 4,229.62 is: 5,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.46 : 10,234.74 = 4,229.62 : x
  2. Step 2: Convert to fraction form
    7,416.46/10,234.74 = 4,229.62/x
  3. Step 3: Cross multiply
    7,416.46x = 10,234.74 × 4,229.62
  4. Step 4: Simplify right side
    7,416.46x = 43,289,061.00
  5. Step 5: Solve for x
    x = 43,289,061.00/7,416.46
  6. Step 6: Final answer
    x = 5,836.89

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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.