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Finding the Fourth Proportional to 7,167.81, 9,892.49 and 4,024

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Solution

The fourth proportional to 7,167.81, 9,892.49 and 4,024 is: 5,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.81 : 9,892.49 = 4,024 : x
  2. Step 2: Convert to fraction form
    7,167.81/9,892.49 = 4,024/x
  3. Step 3: Cross multiply
    7,167.81x = 9,892.49 × 4,024
  4. Step 4: Simplify right side
    7,167.81x = 39,807,379.76
  5. Step 5: Solve for x
    x = 39,807,379.76/7,167.81
  6. Step 6: Final answer
    x = 5,553.63

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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.