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Finding the Fourth Proportional to 7,957.80, 11,936.64 and 2,114.82

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Solution

The fourth proportional to 7,957.80, 11,936.64 and 2,114.82 is: 3,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.80 : 11,936.64 = 2,114.82 : x
  2. Step 2: Convert to fraction form
    7,957.80/11,936.64 = 2,114.82/x
  3. Step 3: Cross multiply
    7,957.80x = 11,936.64 × 2,114.82
  4. Step 4: Simplify right side
    7,957.80x = 25,243,845.00
  5. Step 5: Solve for x
    x = 25,243,845.00/7,957.80
  6. Step 6: Final answer
    x = 3,172.21

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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.