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Finding the Fourth Proportional to 8,198.76, 11,313.90 and 4,661.58

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Solution

The fourth proportional to 8,198.76, 11,313.90 and 4,661.58 is: 6,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.76 : 11,313.90 = 4,661.58 : x
  2. Step 2: Convert to fraction form
    8,198.76/11,313.90 = 4,661.58/x
  3. Step 3: Cross multiply
    8,198.76x = 11,313.90 × 4,661.58
  4. Step 4: Simplify right side
    8,198.76x = 52,740,649.96
  5. Step 5: Solve for x
    x = 52,740,649.96/8,198.76
  6. Step 6: Final answer
    x = 6,432.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.