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Finding the Fourth Proportional to 7,633.04, 11,449.72 and 3,251.28

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Solution

The fourth proportional to 7,633.04, 11,449.72 and 3,251.28 is: 4,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.04 : 11,449.72 = 3,251.28 : x
  2. Step 2: Convert to fraction form
    7,633.04/11,449.72 = 3,251.28/x
  3. Step 3: Cross multiply
    7,633.04x = 11,449.72 × 3,251.28
  4. Step 4: Simplify right side
    7,633.04x = 37,226,245.64
  5. Step 5: Solve for x
    x = 37,226,245.64/7,633.04
  6. Step 6: Final answer
    x = 4,876.99

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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.