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Finding the Fourth Proportional to 6,875.62, 10,311.78 and 3,174.30

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Solution

The fourth proportional to 6,875.62, 10,311.78 and 3,174.30 is: 4,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.62 : 10,311.78 = 3,174.30 : x
  2. Step 2: Convert to fraction form
    6,875.62/10,311.78 = 3,174.30/x
  3. Step 3: Cross multiply
    6,875.62x = 10,311.78 × 3,174.30
  4. Step 4: Simplify right side
    6,875.62x = 32,732,615.82
  5. Step 5: Solve for x
    x = 32,732,615.82/6,875.62
  6. Step 6: Final answer
    x = 4,760.68

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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.