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Finding the Fourth Proportional to 11,039.11, 16,539 and 9,463.66

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Solution

The fourth proportional to 11,039.11, 16,539 and 9,463.66 is: 14,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,039.11 : 16,539 = 9,463.66 : x
  2. Step 2: Convert to fraction form
    11,039.11/16,539 = 9,463.66/x
  3. Step 3: Cross multiply
    11,039.11x = 16,539 × 9,463.66
  4. Step 4: Simplify right side
    11,039.11x = 156,519,472.74
  5. Step 5: Solve for x
    x = 156,519,472.74/11,039.11
  6. Step 6: Final answer
    x = 14,178.63

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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.