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Finding the Fourth Proportional to 8,668.26, 13,003.74 and 2,823.51

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Solution

The fourth proportional to 8,668.26, 13,003.74 and 2,823.51 is: 4,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.26 : 13,003.74 = 2,823.51 : x
  2. Step 2: Convert to fraction form
    8,668.26/13,003.74 = 2,823.51/x
  3. Step 3: Cross multiply
    8,668.26x = 13,003.74 × 2,823.51
  4. Step 4: Simplify right side
    8,668.26x = 36,716,189.93
  5. Step 5: Solve for x
    x = 36,716,189.93/8,668.26
  6. Step 6: Final answer
    x = 4,235.70

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Why These Related Problems?

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