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Finding the Fourth Proportional to 8,143.48, 12,216.12 and 3,216.52

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Solution

The fourth proportional to 8,143.48, 12,216.12 and 3,216.52 is: 4,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.48 : 12,216.12 = 3,216.52 : x
  2. Step 2: Convert to fraction form
    8,143.48/12,216.12 = 3,216.52/x
  3. Step 3: Cross multiply
    8,143.48x = 12,216.12 × 3,216.52
  4. Step 4: Simplify right side
    8,143.48x = 39,293,394.30
  5. Step 5: Solve for x
    x = 39,293,394.30/8,143.48
  6. Step 6: Final answer
    x = 4,825.14

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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.