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Finding the Fourth Proportional to 8,609.81, 11,884.50 and 5,428.46

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Solution

The fourth proportional to 8,609.81, 11,884.50 and 5,428.46 is: 7,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.81 : 11,884.50 = 5,428.46 : x
  2. Step 2: Convert to fraction form
    8,609.81/11,884.50 = 5,428.46/x
  3. Step 3: Cross multiply
    8,609.81x = 11,884.50 × 5,428.46
  4. Step 4: Simplify right side
    8,609.81x = 64,514,562.58
  5. Step 5: Solve for x
    x = 64,514,562.58/8,609.81
  6. Step 6: Final answer
    x = 7,493.15

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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.