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Finding the Fourth Proportional to 7,753.09, 11,631.03 and 2,829.64

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Solution

The fourth proportional to 7,753.09, 11,631.03 and 2,829.64 is: 4,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.09 : 11,631.03 = 2,829.64 : x
  2. Step 2: Convert to fraction form
    7,753.09/11,631.03 = 2,829.64/x
  3. Step 3: Cross multiply
    7,753.09x = 11,631.03 × 2,829.64
  4. Step 4: Simplify right side
    7,753.09x = 32,911,627.73
  5. Step 5: Solve for x
    x = 32,911,627.73/7,753.09
  6. Step 6: Final answer
    x = 4,244.97

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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.