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Finding the Fourth Proportional to 8,230.53, 12,347.76 and 2,683.88

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Solution

The fourth proportional to 8,230.53, 12,347.76 and 2,683.88 is: 4,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.53 : 12,347.76 = 2,683.88 : x
  2. Step 2: Convert to fraction form
    8,230.53/12,347.76 = 2,683.88/x
  3. Step 3: Cross multiply
    8,230.53x = 12,347.76 × 2,683.88
  4. Step 4: Simplify right side
    8,230.53x = 33,139,874.13
  5. Step 5: Solve for x
    x = 33,139,874.13/8,230.53
  6. Step 6: Final answer
    x = 4,026.46

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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.