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Finding the Fourth Proportional to 10,151.97, 14,010.03 and 5,675.91

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Solution

The fourth proportional to 10,151.97, 14,010.03 and 5,675.91 is: 7,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.97 : 14,010.03 = 5,675.91 : x
  2. Step 2: Convert to fraction form
    10,151.97/14,010.03 = 5,675.91/x
  3. Step 3: Cross multiply
    10,151.97x = 14,010.03 × 5,675.91
  4. Step 4: Simplify right side
    10,151.97x = 79,519,669.38
  5. Step 5: Solve for x
    x = 79,519,669.38/10,151.97
  6. Step 6: Final answer
    x = 7,832.93

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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.