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Finding the Fourth Proportional to 11,046.88, 15,244.69 and 6,078.88

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Solution

The fourth proportional to 11,046.88, 15,244.69 and 6,078.88 is: 8,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.88 : 15,244.69 = 6,078.88 : x
  2. Step 2: Convert to fraction form
    11,046.88/15,244.69 = 6,078.88/x
  3. Step 3: Cross multiply
    11,046.88x = 15,244.69 × 6,078.88
  4. Step 4: Simplify right side
    11,046.88x = 92,670,564.92
  5. Step 5: Solve for x
    x = 92,670,564.92/11,046.88
  6. Step 6: Final answer
    x = 8,388.85

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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.