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Finding the Fourth Proportional to 7,933.04, 11,900.28 and 3,251.96

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Solution

The fourth proportional to 7,933.04, 11,900.28 and 3,251.96 is: 4,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.04 : 11,900.28 = 3,251.96 : x
  2. Step 2: Convert to fraction form
    7,933.04/11,900.28 = 3,251.96/x
  3. Step 3: Cross multiply
    7,933.04x = 11,900.28 × 3,251.96
  4. Step 4: Simplify right side
    7,933.04x = 38,699,234.55
  5. Step 5: Solve for x
    x = 38,699,234.55/7,933.04
  6. Step 6: Final answer
    x = 4,878.24

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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.