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Finding the Fourth Proportional to 7,513.82, 10,369.02 and 4,156.82

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Solution

The fourth proportional to 7,513.82, 10,369.02 and 4,156.82 is: 5,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.82 : 10,369.02 = 4,156.82 : x
  2. Step 2: Convert to fraction form
    7,513.82/10,369.02 = 4,156.82/x
  3. Step 3: Cross multiply
    7,513.82x = 10,369.02 × 4,156.82
  4. Step 4: Simplify right side
    7,513.82x = 43,102,149.72
  5. Step 5: Solve for x
    x = 43,102,149.72/7,513.82
  6. Step 6: Final answer
    x = 5,736.38

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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.