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Finding the Fourth Proportional to 10,655.66, 14,704.65 and 5,939.82

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Solution

The fourth proportional to 10,655.66, 14,704.65 and 5,939.82 is: 8,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.66 : 14,704.65 = 5,939.82 : x
  2. Step 2: Convert to fraction form
    10,655.66/14,704.65 = 5,939.82/x
  3. Step 3: Cross multiply
    10,655.66x = 14,704.65 × 5,939.82
  4. Step 4: Simplify right side
    10,655.66x = 87,342,974.16
  5. Step 5: Solve for x
    x = 87,342,974.16/10,655.66
  6. Step 6: Final answer
    x = 8,196.86

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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.