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Finding the Fourth Proportional to 7,419.98, 10,238.56 and 4,770.96

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Solution

The fourth proportional to 7,419.98, 10,238.56 and 4,770.96 is: 6,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.98 : 10,238.56 = 4,770.96 : x
  2. Step 2: Convert to fraction form
    7,419.98/10,238.56 = 4,770.96/x
  3. Step 3: Cross multiply
    7,419.98x = 10,238.56 × 4,770.96
  4. Step 4: Simplify right side
    7,419.98x = 48,847,760.22
  5. Step 5: Solve for x
    x = 48,847,760.22/7,419.98
  6. Step 6: Final answer
    x = 6,583.27

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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.