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Finding the Fourth Proportional to 11,114.82, 16,660.08 and 6,731.10

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Solution

The fourth proportional to 11,114.82, 16,660.08 and 6,731.10 is: 10,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.82 : 16,660.08 = 6,731.10 : x
  2. Step 2: Convert to fraction form
    11,114.82/16,660.08 = 6,731.10/x
  3. Step 3: Cross multiply
    11,114.82x = 16,660.08 × 6,731.10
  4. Step 4: Simplify right side
    11,114.82x = 112,140,664.49
  5. Step 5: Solve for x
    x = 112,140,664.49/11,114.82
  6. Step 6: Final answer
    x = 10,089.29

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Why These Related Problems?

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