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Finding the Fourth Proportional to 8,230.10, 12,347.10 and 2,683.48

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Solution

The fourth proportional to 8,230.10, 12,347.10 and 2,683.48 is: 4,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.10 : 12,347.10 = 2,683.48 : x
  2. Step 2: Convert to fraction form
    8,230.10/12,347.10 = 2,683.48/x
  3. Step 3: Cross multiply
    8,230.10x = 12,347.10 × 2,683.48
  4. Step 4: Simplify right side
    8,230.10x = 33,133,134.17
  5. Step 5: Solve for x
    x = 33,133,134.17/8,230.10
  6. Step 6: Final answer
    x = 4,025.85

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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.