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Finding the Fourth Proportional to 7,424.46, 10,240.83 and 4,775.22

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Solution

The fourth proportional to 7,424.46, 10,240.83 and 4,775.22 is: 6,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.46 : 10,240.83 = 4,775.22 : x
  2. Step 2: Convert to fraction form
    7,424.46/10,240.83 = 4,775.22/x
  3. Step 3: Cross multiply
    7,424.46x = 10,240.83 × 4,775.22
  4. Step 4: Simplify right side
    7,424.46x = 48,902,216.23
  5. Step 5: Solve for x
    x = 48,902,216.23/7,424.46
  6. Step 6: Final answer
    x = 6,586.64

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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.