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Finding the Fourth Proportional to 11,846.51, 16,348.08 and 6,541.21

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Solution

The fourth proportional to 11,846.51, 16,348.08 and 6,541.21 is: 9,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.51 : 16,348.08 = 6,541.21 : x
  2. Step 2: Convert to fraction form
    11,846.51/16,348.08 = 6,541.21/x
  3. Step 3: Cross multiply
    11,846.51x = 16,348.08 × 6,541.21
  4. Step 4: Simplify right side
    11,846.51x = 106,936,224.38
  5. Step 5: Solve for x
    x = 106,936,224.38/11,846.51
  6. Step 6: Final answer
    x = 9,026.81

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Why These Related Problems?

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