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Finding the Fourth Proportional to 7,744.28, 11,624.04 and 5,525.55

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Solution

The fourth proportional to 7,744.28, 11,624.04 and 5,525.55 is: 8,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.28 : 11,624.04 = 5,525.55 : x
  2. Step 2: Convert to fraction form
    7,744.28/11,624.04 = 5,525.55/x
  3. Step 3: Cross multiply
    7,744.28x = 11,624.04 × 5,525.55
  4. Step 4: Simplify right side
    7,744.28x = 64,229,214.22
  5. Step 5: Solve for x
    x = 64,229,214.22/7,744.28
  6. Step 6: Final answer
    x = 8,293.77

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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.