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Finding the Fourth Proportional to 11,060.78, 16,576.12 and 6,377.86

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Solution

The fourth proportional to 11,060.78, 16,576.12 and 6,377.86 is: 9,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,060.78 : 16,576.12 = 6,377.86 : x
  2. Step 2: Convert to fraction form
    11,060.78/16,576.12 = 6,377.86/x
  3. Step 3: Cross multiply
    11,060.78x = 16,576.12 × 6,377.86
  4. Step 4: Simplify right side
    11,060.78x = 105,720,057.93
  5. Step 5: Solve for x
    x = 105,720,057.93/11,060.78
  6. Step 6: Final answer
    x = 9,558.10

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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.