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Finding the Fourth Proportional to 11,112.29, 15,334.73 and 6,076.45

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Solution

The fourth proportional to 11,112.29, 15,334.73 and 6,076.45 is: 8,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,112.29 : 15,334.73 = 6,076.45 : x
  2. Step 2: Convert to fraction form
    11,112.29/15,334.73 = 6,076.45/x
  3. Step 3: Cross multiply
    11,112.29x = 15,334.73 × 6,076.45
  4. Step 4: Simplify right side
    11,112.29x = 93,180,714.59
  5. Step 5: Solve for x
    x = 93,180,714.59/11,112.29
  6. Step 6: Final answer
    x = 8,385.38

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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.