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Finding the Fourth Proportional to 8,215.34, 12,328.47 and 3,021.21

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Solution

The fourth proportional to 8,215.34, 12,328.47 and 3,021.21 is: 4,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.34 : 12,328.47 = 3,021.21 : x
  2. Step 2: Convert to fraction form
    8,215.34/12,328.47 = 3,021.21/x
  3. Step 3: Cross multiply
    8,215.34x = 12,328.47 × 3,021.21
  4. Step 4: Simplify right side
    8,215.34x = 37,246,901.44
  5. Step 5: Solve for x
    x = 37,246,901.44/8,215.34
  6. Step 6: Final answer
    x = 4,533.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.