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Finding the Fourth Proportional to 13,076.31, 18,046.88 and 7,771.12

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Solution

The fourth proportional to 13,076.31, 18,046.88 and 7,771.12 is: 10,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.31 : 18,046.88 = 7,771.12 : x
  2. Step 2: Convert to fraction form
    13,076.31/18,046.88 = 7,771.12/x
  3. Step 3: Cross multiply
    13,076.31x = 18,046.88 × 7,771.12
  4. Step 4: Simplify right side
    13,076.31x = 140,244,470.11
  5. Step 5: Solve for x
    x = 140,244,470.11/13,076.31
  6. Step 6: Final answer
    x = 10,725.08

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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.