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Finding the Fourth Proportional to 7,174.88, 10,762.73 and 2,557.88

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Solution

The fourth proportional to 7,174.88, 10,762.73 and 2,557.88 is: 3,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.88 : 10,762.73 = 2,557.88 : x
  2. Step 2: Convert to fraction form
    7,174.88/10,762.73 = 2,557.88/x
  3. Step 3: Cross multiply
    7,174.88x = 10,762.73 × 2,557.88
  4. Step 4: Simplify right side
    7,174.88x = 27,529,705.21
  5. Step 5: Solve for x
    x = 27,529,705.21/7,174.88
  6. Step 6: Final answer
    x = 3,836.96

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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.