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Finding the Fourth Proportional to 8,478.12, 11,673.68 and 7,532.28

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Solution

The fourth proportional to 8,478.12, 11,673.68 and 7,532.28 is: 10,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.12 : 11,673.68 = 7,532.28 : x
  2. Step 2: Convert to fraction form
    8,478.12/11,673.68 = 7,532.28/x
  3. Step 3: Cross multiply
    8,478.12x = 11,673.68 × 7,532.28
  4. Step 4: Simplify right side
    8,478.12x = 87,929,388.73
  5. Step 5: Solve for x
    x = 87,929,388.73/8,478.12
  6. Step 6: Final answer
    x = 10,371.33

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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.