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Finding the Fourth Proportional to 11,846, 16,343.40 and 7,596.72

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Solution

The fourth proportional to 11,846, 16,343.40 and 7,596.72 is: 10,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846 : 16,343.40 = 7,596.72 : x
  2. Step 2: Convert to fraction form
    11,846/16,343.40 = 7,596.72/x
  3. Step 3: Cross multiply
    11,846x = 16,343.40 × 7,596.72
  4. Step 4: Simplify right side
    11,846x = 124,156,233.65
  5. Step 5: Solve for x
    x = 124,156,233.65/11,846
  6. Step 6: Final answer
    x = 10,480.86

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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.