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Finding the Fourth Proportional to 8,119.50, 11,205.18 and 4,582.86

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Solution

The fourth proportional to 8,119.50, 11,205.18 and 4,582.86 is: 6,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.50 : 11,205.18 = 4,582.86 : x
  2. Step 2: Convert to fraction form
    8,119.50/11,205.18 = 4,582.86/x
  3. Step 3: Cross multiply
    8,119.50x = 11,205.18 × 4,582.86
  4. Step 4: Simplify right side
    8,119.50x = 51,351,771.21
  5. Step 5: Solve for x
    x = 51,351,771.21/8,119.50
  6. Step 6: Final answer
    x = 6,324.50

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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.