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Finding the Fourth Proportional to 7,415.19, 10,231.20 and 4,766.22

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Solution

The fourth proportional to 7,415.19, 10,231.20 and 4,766.22 is: 6,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.19 : 10,231.20 = 4,766.22 : x
  2. Step 2: Convert to fraction form
    7,415.19/10,231.20 = 4,766.22/x
  3. Step 3: Cross multiply
    7,415.19x = 10,231.20 × 4,766.22
  4. Step 4: Simplify right side
    7,415.19x = 48,764,150.06
  5. Step 5: Solve for x
    x = 48,764,150.06/7,415.19
  6. Step 6: Final answer
    x = 6,576.25

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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.