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Finding the Fourth Proportional to 8,197.72, 11,313.38 and 4,661.32

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Solution

The fourth proportional to 8,197.72, 11,313.38 and 4,661.32 is: 6,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.72 : 11,313.38 = 4,661.32 : x
  2. Step 2: Convert to fraction form
    8,197.72/11,313.38 = 4,661.32/x
  3. Step 3: Cross multiply
    8,197.72x = 11,313.38 × 4,661.32
  4. Step 4: Simplify right side
    8,197.72x = 52,735,284.46
  5. Step 5: Solve for x
    x = 52,735,284.46/8,197.72
  6. Step 6: Final answer
    x = 6,432.92

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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.