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Finding the Fourth Proportional to 8,102.18, 12,143.12 and 4,344.68

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Solution

The fourth proportional to 8,102.18, 12,143.12 and 4,344.68 is: 6,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.18 : 12,143.12 = 4,344.68 : x
  2. Step 2: Convert to fraction form
    8,102.18/12,143.12 = 4,344.68/x
  3. Step 3: Cross multiply
    8,102.18x = 12,143.12 × 4,344.68
  4. Step 4: Simplify right side
    8,102.18x = 52,757,970.60
  5. Step 5: Solve for x
    x = 52,757,970.60/8,102.18
  6. Step 6: Final answer
    x = 6,511.58

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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.