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Finding the Fourth Proportional to 10,508.11, 14,500.31 and 5,792.38

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Solution

The fourth proportional to 10,508.11, 14,500.31 and 5,792.38 is: 7,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.11 : 14,500.31 = 5,792.38 : x
  2. Step 2: Convert to fraction form
    10,508.11/14,500.31 = 5,792.38/x
  3. Step 3: Cross multiply
    10,508.11x = 14,500.31 × 5,792.38
  4. Step 4: Simplify right side
    10,508.11x = 83,991,240.43
  5. Step 5: Solve for x
    x = 83,991,240.43/10,508.11
  6. Step 6: Final answer
    x = 7,992.99

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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.