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Finding the Fourth Proportional to 11,189.71, 15,440.92 and 6,473.08

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Solution

The fourth proportional to 11,189.71, 15,440.92 and 6,473.08 is: 8,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.71 : 15,440.92 = 6,473.08 : x
  2. Step 2: Convert to fraction form
    11,189.71/15,440.92 = 6,473.08/x
  3. Step 3: Cross multiply
    11,189.71x = 15,440.92 × 6,473.08
  4. Step 4: Simplify right side
    11,189.71x = 99,950,310.43
  5. Step 5: Solve for x
    x = 99,950,310.43/11,189.71
  6. Step 6: Final answer
    x = 8,932.34

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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.