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Finding the Fourth Proportional to 11,846.86, 16,348.84 and 6,541.56

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Solution

The fourth proportional to 11,846.86, 16,348.84 and 6,541.56 is: 9,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.86 : 16,348.84 = 6,541.56 : x
  2. Step 2: Convert to fraction form
    11,846.86/16,348.84 = 6,541.56/x
  3. Step 3: Cross multiply
    11,846.86x = 16,348.84 × 6,541.56
  4. Step 4: Simplify right side
    11,846.86x = 106,946,901.44
  5. Step 5: Solve for x
    x = 106,946,901.44/11,846.86
  6. Step 6: Final answer
    x = 9,027.45

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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.