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Finding the Fourth Proportional to 11,911.32, 16,441.02 and 7,195.92

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Solution

The fourth proportional to 11,911.32, 16,441.02 and 7,195.92 is: 9,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.32 : 16,441.02 = 7,195.92 : x
  2. Step 2: Convert to fraction form
    11,911.32/16,441.02 = 7,195.92/x
  3. Step 3: Cross multiply
    11,911.32x = 16,441.02 × 7,195.92
  4. Step 4: Simplify right side
    11,911.32x = 118,308,264.64
  5. Step 5: Solve for x
    x = 118,308,264.64/11,911.32
  6. Step 6: Final answer
    x = 9,932.42

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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.