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Finding the Fourth Proportional to 7,435.68, 11,157.82 and 2,821.92

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Solution

The fourth proportional to 7,435.68, 11,157.82 and 2,821.92 is: 4,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.68 : 11,157.82 = 2,821.92 : x
  2. Step 2: Convert to fraction form
    7,435.68/11,157.82 = 2,821.92/x
  3. Step 3: Cross multiply
    7,435.68x = 11,157.82 × 2,821.92
  4. Step 4: Simplify right side
    7,435.68x = 31,486,475.41
  5. Step 5: Solve for x
    x = 31,486,475.41/7,435.68
  6. Step 6: Final answer
    x = 4,234.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.