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Finding the Fourth Proportional to 6,846.60, 10,272.06 and 4,076.40

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Solution

The fourth proportional to 6,846.60, 10,272.06 and 4,076.40 is: 6,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.60 : 10,272.06 = 4,076.40 : x
  2. Step 2: Convert to fraction form
    6,846.60/10,272.06 = 4,076.40/x
  3. Step 3: Cross multiply
    6,846.60x = 10,272.06 × 4,076.40
  4. Step 4: Simplify right side
    6,846.60x = 41,873,025.38
  5. Step 5: Solve for x
    x = 41,873,025.38/6,846.60
  6. Step 6: Final answer
    x = 6,115.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.