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Finding the Fourth Proportional to 8,412.47, 11,609.21 and 4,877.73

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Solution

The fourth proportional to 8,412.47, 11,609.21 and 4,877.73 is: 6,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.47 : 11,609.21 = 4,877.73 : x
  2. Step 2: Convert to fraction form
    8,412.47/11,609.21 = 4,877.73/x
  3. Step 3: Cross multiply
    8,412.47x = 11,609.21 × 4,877.73
  4. Step 4: Simplify right side
    8,412.47x = 56,626,576.65
  5. Step 5: Solve for x
    x = 56,626,576.65/8,412.47
  6. Step 6: Final answer
    x = 6,731.27

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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.