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Finding the Fourth Proportional to 7,957.47, 11,936.45 and 3,797.92

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Solution

The fourth proportional to 7,957.47, 11,936.45 and 3,797.92 is: 5,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.47 : 11,936.45 = 3,797.92 : x
  2. Step 2: Convert to fraction form
    7,957.47/11,936.45 = 3,797.92/x
  3. Step 3: Cross multiply
    7,957.47x = 11,936.45 × 3,797.92
  4. Step 4: Simplify right side
    7,957.47x = 45,333,682.18
  5. Step 5: Solve for x
    x = 45,333,682.18/7,957.47
  6. Step 6: Final answer
    x = 5,697.00

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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.