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Finding the Fourth Proportional to 8,215.42, 12,322.94 and 5,576.34

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Solution

The fourth proportional to 8,215.42, 12,322.94 and 5,576.34 is: 8,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.42 : 12,322.94 = 5,576.34 : x
  2. Step 2: Convert to fraction form
    8,215.42/12,322.94 = 5,576.34/x
  3. Step 3: Cross multiply
    8,215.42x = 12,322.94 × 5,576.34
  4. Step 4: Simplify right side
    8,215.42x = 68,716,903.24
  5. Step 5: Solve for x
    x = 68,716,903.24/8,215.42
  6. Step 6: Final answer
    x = 8,364.38

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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.