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Finding the Fourth Proportional to 11,076.96, 15,285 and 6,827.28

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Solution

The fourth proportional to 11,076.96, 15,285 and 6,827.28 is: 9,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.96 : 15,285 = 6,827.28 : x
  2. Step 2: Convert to fraction form
    11,076.96/15,285 = 6,827.28/x
  3. Step 3: Cross multiply
    11,076.96x = 15,285 × 6,827.28
  4. Step 4: Simplify right side
    11,076.96x = 104,354,974.80
  5. Step 5: Solve for x
    x = 104,354,974.80/11,076.96
  6. Step 6: Final answer
    x = 9,420.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.