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Finding the Fourth Proportional to 8,200.93, 12,304.49 and 4,916.38

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Solution

The fourth proportional to 8,200.93, 12,304.49 and 4,916.38 is: 7,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.93 : 12,304.49 = 4,916.38 : x
  2. Step 2: Convert to fraction form
    8,200.93/12,304.49 = 4,916.38/x
  3. Step 3: Cross multiply
    8,200.93x = 12,304.49 × 4,916.38
  4. Step 4: Simplify right side
    8,200.93x = 60,493,548.55
  5. Step 5: Solve for x
    x = 60,493,548.55/8,200.93
  6. Step 6: Final answer
    x = 7,376.43

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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.