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Finding the Fourth Proportional to 11,845.66, 16,346.88 and 6,540.46

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Solution

The fourth proportional to 11,845.66, 16,346.88 and 6,540.46 is: 9,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.66 : 16,346.88 = 6,540.46 : x
  2. Step 2: Convert to fraction form
    11,845.66/16,346.88 = 6,540.46/x
  3. Step 3: Cross multiply
    11,845.66x = 16,346.88 × 6,540.46
  4. Step 4: Simplify right side
    11,845.66x = 106,916,114.76
  5. Step 5: Solve for x
    x = 106,916,114.76/11,845.66
  6. Step 6: Final answer
    x = 9,025.76

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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.