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Finding the Fourth Proportional to 7,234.53, 10,855.17 and 2,558.08

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Solution

The fourth proportional to 7,234.53, 10,855.17 and 2,558.08 is: 3,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.53 : 10,855.17 = 2,558.08 : x
  2. Step 2: Convert to fraction form
    7,234.53/10,855.17 = 2,558.08/x
  3. Step 3: Cross multiply
    7,234.53x = 10,855.17 × 2,558.08
  4. Step 4: Simplify right side
    7,234.53x = 27,768,359.74
  5. Step 5: Solve for x
    x = 27,768,359.74/7,234.53
  6. Step 6: Final answer
    x = 3,838.31

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Why These Related Problems?

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