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Finding the Fourth Proportional to 7,410.62, 10,233.46 and 4,762.64

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Solution

The fourth proportional to 7,410.62, 10,233.46 and 4,762.64 is: 6,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.62 : 10,233.46 = 4,762.64 : x
  2. Step 2: Convert to fraction form
    7,410.62/10,233.46 = 4,762.64/x
  3. Step 3: Cross multiply
    7,410.62x = 10,233.46 × 4,762.64
  4. Step 4: Simplify right side
    7,410.62x = 48,738,285.93
  5. Step 5: Solve for x
    x = 48,738,285.93/7,410.62
  6. Step 6: Final answer
    x = 6,576.82

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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.