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Finding the Fourth Proportional to 11,076.53, 15,267.38 and 7,842.20

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Solution

The fourth proportional to 11,076.53, 15,267.38 and 7,842.20 is: 10,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.53 : 15,267.38 = 7,842.20 : x
  2. Step 2: Convert to fraction form
    11,076.53/15,267.38 = 7,842.20/x
  3. Step 3: Cross multiply
    11,076.53x = 15,267.38 × 7,842.20
  4. Step 4: Simplify right side
    11,076.53x = 119,729,905.21
  5. Step 5: Solve for x
    x = 119,729,905.21/11,076.53
  6. Step 6: Final answer
    x = 10,809.33

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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.