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Finding the Fourth Proportional to 10,663.12, 15,961.88 and 6,957.37

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Solution

The fourth proportional to 10,663.12, 15,961.88 and 6,957.37 is: 10,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.12 : 15,961.88 = 6,957.37 : x
  2. Step 2: Convert to fraction form
    10,663.12/15,961.88 = 6,957.37/x
  3. Step 3: Cross multiply
    10,663.12x = 15,961.88 × 6,957.37
  4. Step 4: Simplify right side
    10,663.12x = 111,052,736.26
  5. Step 5: Solve for x
    x = 111,052,736.26/10,663.12
  6. Step 6: Final answer
    x = 10,414.65

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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.