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Finding the Fourth Proportional to 8,071.86, 11,137.92 and 4,534.38

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Solution

The fourth proportional to 8,071.86, 11,137.92 and 4,534.38 is: 6,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.86 : 11,137.92 = 4,534.38 : x
  2. Step 2: Convert to fraction form
    8,071.86/11,137.92 = 4,534.38/x
  3. Step 3: Cross multiply
    8,071.86x = 11,137.92 × 4,534.38
  4. Step 4: Simplify right side
    8,071.86x = 50,503,561.69
  5. Step 5: Solve for x
    x = 50,503,561.69/8,071.86
  6. Step 6: Final answer
    x = 6,256.74

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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.