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Finding the Fourth Proportional to 7,992.62, 11,031.19 and 4,636.49

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Solution

The fourth proportional to 7,992.62, 11,031.19 and 4,636.49 is: 6,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.62 : 11,031.19 = 4,636.49 : x
  2. Step 2: Convert to fraction form
    7,992.62/11,031.19 = 4,636.49/x
  3. Step 3: Cross multiply
    7,992.62x = 11,031.19 × 4,636.49
  4. Step 4: Simplify right side
    7,992.62x = 51,145,935.38
  5. Step 5: Solve for x
    x = 51,145,935.38/7,992.62
  6. Step 6: Final answer
    x = 6,399.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.