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Finding the Fourth Proportional to 11,957.46, 17,936.20 and 5,716.00

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Solution

The fourth proportional to 11,957.46, 17,936.20 and 5,716.00 is: 8,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.46 : 17,936.20 = 5,716.00 : x
  2. Step 2: Convert to fraction form
    11,957.46/17,936.20 = 5,716.00/x
  3. Step 3: Cross multiply
    11,957.46x = 17,936.20 × 5,716.00
  4. Step 4: Simplify right side
    11,957.46x = 102,523,348.77
  5. Step 5: Solve for x
    x = 102,523,348.77/11,957.46
  6. Step 6: Final answer
    x = 8,574.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.