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Finding the Fourth Proportional to 7,052.36, 10,578.64 and 2,668.64

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Solution

The fourth proportional to 7,052.36, 10,578.64 and 2,668.64 is: 4,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.36 : 10,578.64 = 2,668.64 : x
  2. Step 2: Convert to fraction form
    7,052.36/10,578.64 = 2,668.64/x
  3. Step 3: Cross multiply
    7,052.36x = 10,578.64 × 2,668.64
  4. Step 4: Simplify right side
    7,052.36x = 28,230,522.28
  5. Step 5: Solve for x
    x = 28,230,522.28/7,052.36
  6. Step 6: Final answer
    x = 4,002.99

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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.