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Finding the Fourth Proportional to 7,633.80, 11,454.30 and 2,705.76

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Solution

The fourth proportional to 7,633.80, 11,454.30 and 2,705.76 is: 4,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.80 : 11,454.30 = 2,705.76 : x
  2. Step 2: Convert to fraction form
    7,633.80/11,454.30 = 2,705.76/x
  3. Step 3: Cross multiply
    7,633.80x = 11,454.30 × 2,705.76
  4. Step 4: Simplify right side
    7,633.80x = 30,992,586.77
  5. Step 5: Solve for x
    x = 30,992,586.77/7,633.80
  6. Step 6: Final answer
    x = 4,059.92

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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.