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Finding the Fourth Proportional to 11,770.72, 16,254 and 8,007.86

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Solution

The fourth proportional to 11,770.72, 16,254 and 8,007.86 is: 11,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.72 : 16,254 = 8,007.86 : x
  2. Step 2: Convert to fraction form
    11,770.72/16,254 = 8,007.86/x
  3. Step 3: Cross multiply
    11,770.72x = 16,254 × 8,007.86
  4. Step 4: Simplify right side
    11,770.72x = 130,159,756.44
  5. Step 5: Solve for x
    x = 130,159,756.44/11,770.72
  6. Step 6: Final answer
    x = 11,057.93

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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.