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Finding the Fourth Proportional to 7,416.47, 10,234.49 and 4,059.20

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Solution

The fourth proportional to 7,416.47, 10,234.49 and 4,059.20 is: 5,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.47 : 10,234.49 = 4,059.20 : x
  2. Step 2: Convert to fraction form
    7,416.47/10,234.49 = 4,059.20/x
  3. Step 3: Cross multiply
    7,416.47x = 10,234.49 × 4,059.20
  4. Step 4: Simplify right side
    7,416.47x = 41,543,770.34
  5. Step 5: Solve for x
    x = 41,543,770.34/7,416.47
  6. Step 6: Final answer
    x = 5,601.56

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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.