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Finding the Fourth Proportional to 11,141.68, 15,340.44 and 8,480.56

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Solution

The fourth proportional to 11,141.68, 15,340.44 and 8,480.56 is: 11,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.68 : 15,340.44 = 8,480.56 : x
  2. Step 2: Convert to fraction form
    11,141.68/15,340.44 = 8,480.56/x
  3. Step 3: Cross multiply
    11,141.68x = 15,340.44 × 8,480.56
  4. Step 4: Simplify right side
    11,141.68x = 130,095,521.85
  5. Step 5: Solve for x
    x = 130,095,521.85/11,141.68
  6. Step 6: Final answer
    x = 11,676.47

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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.