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Finding the Fourth Proportional to 7,234.90, 10,855.73 and 2,558.46

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Solution

The fourth proportional to 7,234.90, 10,855.73 and 2,558.46 is: 3,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.90 : 10,855.73 = 2,558.46 : x
  2. Step 2: Convert to fraction form
    7,234.90/10,855.73 = 2,558.46/x
  3. Step 3: Cross multiply
    7,234.90x = 10,855.73 × 2,558.46
  4. Step 4: Simplify right side
    7,234.90x = 27,773,903.09
  5. Step 5: Solve for x
    x = 27,773,903.09/7,234.90
  6. Step 6: Final answer
    x = 3,838.88

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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.