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Finding the Fourth Proportional to 7,406.81, 10,217.36 and 4,754.62

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Solution

The fourth proportional to 7,406.81, 10,217.36 and 4,754.62 is: 6,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.81 : 10,217.36 = 4,754.62 : x
  2. Step 2: Convert to fraction form
    7,406.81/10,217.36 = 4,754.62/x
  3. Step 3: Cross multiply
    7,406.81x = 10,217.36 × 4,754.62
  4. Step 4: Simplify right side
    7,406.81x = 48,579,651.27
  5. Step 5: Solve for x
    x = 48,579,651.27/7,406.81
  6. Step 6: Final answer
    x = 6,558.78

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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.