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Finding the Fourth Proportional to 8,353.41, 11,527.68 and 4,576.80

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Solution

The fourth proportional to 8,353.41, 11,527.68 and 4,576.80 is: 6,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.41 : 11,527.68 = 4,576.80 : x
  2. Step 2: Convert to fraction form
    8,353.41/11,527.68 = 4,576.80/x
  3. Step 3: Cross multiply
    8,353.41x = 11,527.68 × 4,576.80
  4. Step 4: Simplify right side
    8,353.41x = 52,759,885.82
  5. Step 5: Solve for x
    x = 52,759,885.82/8,353.41
  6. Step 6: Final answer
    x = 6,315.97

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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.