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Finding the Fourth Proportional to 11,756.98, 16,182.38 and 10,635.54

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Solution

The fourth proportional to 11,756.98, 16,182.38 and 10,635.54 is: 14,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.98 : 16,182.38 = 10,635.54 : x
  2. Step 2: Convert to fraction form
    11,756.98/16,182.38 = 10,635.54/x
  3. Step 3: Cross multiply
    11,756.98x = 16,182.38 × 10,635.54
  4. Step 4: Simplify right side
    11,756.98x = 172,108,315.69
  5. Step 5: Solve for x
    x = 172,108,315.69/11,756.98
  6. Step 6: Final answer
    x = 14,638.82

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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.