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Finding the Fourth Proportional to 7,742.96, 11,615.20 and 4,449.68

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Solution

The fourth proportional to 7,742.96, 11,615.20 and 4,449.68 is: 6,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.96 : 11,615.20 = 4,449.68 : x
  2. Step 2: Convert to fraction form
    7,742.96/11,615.20 = 4,449.68/x
  3. Step 3: Cross multiply
    7,742.96x = 11,615.20 × 4,449.68
  4. Step 4: Simplify right side
    7,742.96x = 51,683,923.14
  5. Step 5: Solve for x
    x = 51,683,923.14/7,742.96
  6. Step 6: Final answer
    x = 6,674.96

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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.