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Finding the Fourth Proportional to 7,464.68, 10,297.81 and 4,812.94

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Solution

The fourth proportional to 7,464.68, 10,297.81 and 4,812.94 is: 6,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.68 : 10,297.81 = 4,812.94 : x
  2. Step 2: Convert to fraction form
    7,464.68/10,297.81 = 4,812.94/x
  3. Step 3: Cross multiply
    7,464.68x = 10,297.81 × 4,812.94
  4. Step 4: Simplify right side
    7,464.68x = 49,562,753.69
  5. Step 5: Solve for x
    x = 49,562,753.69/7,464.68
  6. Step 6: Final answer
    x = 6,639.64

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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.