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Finding the Fourth Proportional to 8,668.50, 13,004.10 and 2,823.74

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Solution

The fourth proportional to 8,668.50, 13,004.10 and 2,823.74 is: 4,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.50 : 13,004.10 = 2,823.74 : x
  2. Step 2: Convert to fraction form
    8,668.50/13,004.10 = 2,823.74/x
  3. Step 3: Cross multiply
    8,668.50x = 13,004.10 × 2,823.74
  4. Step 4: Simplify right side
    8,668.50x = 36,720,197.33
  5. Step 5: Solve for x
    x = 36,720,197.33/8,668.50
  6. Step 6: Final answer
    x = 4,236.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.