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Finding the Fourth Proportional to 11,112.22, 15,334.74 and 6,076.42

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Solution

The fourth proportional to 11,112.22, 15,334.74 and 6,076.42 is: 8,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,112.22 : 15,334.74 = 6,076.42 : x
  2. Step 2: Convert to fraction form
    11,112.22/15,334.74 = 6,076.42/x
  3. Step 3: Cross multiply
    11,112.22x = 15,334.74 × 6,076.42
  4. Step 4: Simplify right side
    11,112.22x = 93,180,320.83
  5. Step 5: Solve for x
    x = 93,180,320.83/11,112.22
  6. Step 6: Final answer
    x = 8,385.39

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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.