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Finding the Fourth Proportional to 11,423.46, 15,768.34 and 7,850.25

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Solution

The fourth proportional to 11,423.46, 15,768.34 and 7,850.25 is: 10,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.46 : 15,768.34 = 7,850.25 : x
  2. Step 2: Convert to fraction form
    11,423.46/15,768.34 = 7,850.25/x
  3. Step 3: Cross multiply
    11,423.46x = 15,768.34 × 7,850.25
  4. Step 4: Simplify right side
    11,423.46x = 123,785,332.26
  5. Step 5: Solve for x
    x = 123,785,332.26/11,423.46
  6. Step 6: Final answer
    x = 10,836.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.