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Finding the Fourth Proportional to 7,742.46, 11,615.22 and 2,812.26

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Solution

The fourth proportional to 7,742.46, 11,615.22 and 2,812.26 is: 4,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.46 : 11,615.22 = 2,812.26 : x
  2. Step 2: Convert to fraction form
    7,742.46/11,615.22 = 2,812.26/x
  3. Step 3: Cross multiply
    7,742.46x = 11,615.22 × 2,812.26
  4. Step 4: Simplify right side
    7,742.46x = 32,665,018.60
  5. Step 5: Solve for x
    x = 32,665,018.60/7,742.46
  6. Step 6: Final answer
    x = 4,218.95

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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.