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Finding the Fourth Proportional to 8,103.50, 11,187.70 and 5,313.86

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Solution

The fourth proportional to 8,103.50, 11,187.70 and 5,313.86 is: 7,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.50 : 11,187.70 = 5,313.86 : x
  2. Step 2: Convert to fraction form
    8,103.50/11,187.70 = 5,313.86/x
  3. Step 3: Cross multiply
    8,103.50x = 11,187.70 × 5,313.86
  4. Step 4: Simplify right side
    8,103.50x = 59,449,871.52
  5. Step 5: Solve for x
    x = 59,449,871.52/8,103.50
  6. Step 6: Final answer
    x = 7,336.32

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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.