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Finding the Fourth Proportional to 11,185.56, 16,767 and 7,236

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Solution

The fourth proportional to 11,185.56, 16,767 and 7,236 is: 10,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.56 : 16,767 = 7,236 : x
  2. Step 2: Convert to fraction form
    11,185.56/16,767 = 7,236/x
  3. Step 3: Cross multiply
    11,185.56x = 16,767 × 7,236
  4. Step 4: Simplify right side
    11,185.56x = 121,326,012
  5. Step 5: Solve for x
    x = 121,326,012/11,185.56
  6. Step 6: Final answer
    x = 10,846.66

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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.