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Finding the Fourth Proportional to 7,408.42, 11,096.19 and 5,322.17

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Solution

The fourth proportional to 7,408.42, 11,096.19 and 5,322.17 is: 7,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.42 : 11,096.19 = 5,322.17 : x
  2. Step 2: Convert to fraction form
    7,408.42/11,096.19 = 5,322.17/x
  3. Step 3: Cross multiply
    7,408.42x = 11,096.19 × 5,322.17
  4. Step 4: Simplify right side
    7,408.42x = 59,055,790.46
  5. Step 5: Solve for x
    x = 59,055,790.46/7,408.42
  6. Step 6: Final answer
    x = 7,971.44

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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.