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Finding the Fourth Proportional to 8,436, 12,644.43 and 5,141.83

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Solution

The fourth proportional to 8,436, 12,644.43 and 5,141.83 is: 7,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436 : 12,644.43 = 5,141.83 : x
  2. Step 2: Convert to fraction form
    8,436/12,644.43 = 5,141.83/x
  3. Step 3: Cross multiply
    8,436x = 12,644.43 × 5,141.83
  4. Step 4: Simplify right side
    8,436x = 65,015,509.51
  5. Step 5: Solve for x
    x = 65,015,509.51/8,436
  6. Step 6: Final answer
    x = 7,706.91

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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.