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Finding the Fourth Proportional to 7,957.28, 11,943.22 and 4,263.68

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Solution

The fourth proportional to 7,957.28, 11,943.22 and 4,263.68 is: 6,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.28 : 11,943.22 = 4,263.68 : x
  2. Step 2: Convert to fraction form
    7,957.28/11,943.22 = 4,263.68/x
  3. Step 3: Cross multiply
    7,957.28x = 11,943.22 × 4,263.68
  4. Step 4: Simplify right side
    7,957.28x = 50,922,068.25
  5. Step 5: Solve for x
    x = 50,922,068.25/7,957.28
  6. Step 6: Final answer
    x = 6,399.43

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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.