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Finding the Fourth Proportional to 8,153.80, 12,203.70 and 5,926.30

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Solution

The fourth proportional to 8,153.80, 12,203.70 and 5,926.30 is: 8,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.80 : 12,203.70 = 5,926.30 : x
  2. Step 2: Convert to fraction form
    8,153.80/12,203.70 = 5,926.30/x
  3. Step 3: Cross multiply
    8,153.80x = 12,203.70 × 5,926.30
  4. Step 4: Simplify right side
    8,153.80x = 72,322,787.31
  5. Step 5: Solve for x
    x = 72,322,787.31/8,153.80
  6. Step 6: Final answer
    x = 8,869.83

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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.