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Finding the Fourth Proportional to 8,201.40, 12,294.90 and 4,915.80

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Solution

The fourth proportional to 8,201.40, 12,294.90 and 4,915.80 is: 7,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.40 : 12,294.90 = 4,915.80 : x
  2. Step 2: Convert to fraction form
    8,201.40/12,294.90 = 4,915.80/x
  3. Step 3: Cross multiply
    8,201.40x = 12,294.90 × 4,915.80
  4. Step 4: Simplify right side
    8,201.40x = 60,439,269.42
  5. Step 5: Solve for x
    x = 60,439,269.42/8,201.40
  6. Step 6: Final answer
    x = 7,369.38

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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.