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Finding the Fourth Proportional to 11,350.64, 15,650.96 and 7,992.38

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Solution

The fourth proportional to 11,350.64, 15,650.96 and 7,992.38 is: 11,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.64 : 15,650.96 = 7,992.38 : x
  2. Step 2: Convert to fraction form
    11,350.64/15,650.96 = 7,992.38/x
  3. Step 3: Cross multiply
    11,350.64x = 15,650.96 × 7,992.38
  4. Step 4: Simplify right side
    11,350.64x = 125,088,419.68
  5. Step 5: Solve for x
    x = 125,088,419.68/11,350.64
  6. Step 6: Final answer
    x = 11,020.38

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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.