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Finding the Fourth Proportional to 11,134.44, 15,363.06 and 6,828.46

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Solution

The fourth proportional to 11,134.44, 15,363.06 and 6,828.46 is: 9,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.44 : 15,363.06 = 6,828.46 : x
  2. Step 2: Convert to fraction form
    11,134.44/15,363.06 = 6,828.46/x
  3. Step 3: Cross multiply
    11,134.44x = 15,363.06 × 6,828.46
  4. Step 4: Simplify right side
    11,134.44x = 104,906,040.69
  5. Step 5: Solve for x
    x = 104,906,040.69/11,134.44
  6. Step 6: Final answer
    x = 9,421.76

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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.