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Finding the Fourth Proportional to 8,668.16, 13,002.24 and 2,512.64

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Solution

The fourth proportional to 8,668.16, 13,002.24 and 2,512.64 is: 3,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.16 : 13,002.24 = 2,512.64 : x
  2. Step 2: Convert to fraction form
    8,668.16/13,002.24 = 2,512.64/x
  3. Step 3: Cross multiply
    8,668.16x = 13,002.24 × 2,512.64
  4. Step 4: Simplify right side
    8,668.16x = 32,669,948.31
  5. Step 5: Solve for x
    x = 32,669,948.31/8,668.16
  6. Step 6: Final answer
    x = 3,768.96

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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.