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Finding the Fourth Proportional to 7,131.86, 10,694.40 and 4,171.16

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Solution

The fourth proportional to 7,131.86, 10,694.40 and 4,171.16 is: 6,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.86 : 10,694.40 = 4,171.16 : x
  2. Step 2: Convert to fraction form
    7,131.86/10,694.40 = 4,171.16/x
  3. Step 3: Cross multiply
    7,131.86x = 10,694.40 × 4,171.16
  4. Step 4: Simplify right side
    7,131.86x = 44,608,053.50
  5. Step 5: Solve for x
    x = 44,608,053.50/7,131.86
  6. Step 6: Final answer
    x = 6,254.76

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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.