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Finding the Fourth Proportional to 8,353.81, 11,527.75 and 4,576.22

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Solution

The fourth proportional to 8,353.81, 11,527.75 and 4,576.22 is: 6,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.81 : 11,527.75 = 4,576.22 : x
  2. Step 2: Convert to fraction form
    8,353.81/11,527.75 = 4,576.22/x
  3. Step 3: Cross multiply
    8,353.81x = 11,527.75 × 4,576.22
  4. Step 4: Simplify right side
    8,353.81x = 52,753,511.42
  5. Step 5: Solve for x
    x = 52,753,511.42/8,353.81
  6. Step 6: Final answer
    x = 6,314.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.