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Finding the Fourth Proportional to 7,763.60, 11,632.44 and 5,450.96

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Solution

The fourth proportional to 7,763.60, 11,632.44 and 5,450.96 is: 8,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.60 : 11,632.44 = 5,450.96 : x
  2. Step 2: Convert to fraction form
    7,763.60/11,632.44 = 5,450.96/x
  3. Step 3: Cross multiply
    7,763.60x = 11,632.44 × 5,450.96
  4. Step 4: Simplify right side
    7,763.60x = 63,407,965.14
  5. Step 5: Solve for x
    x = 63,407,965.14/7,763.60
  6. Step 6: Final answer
    x = 8,167.34

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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.