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Finding the Fourth Proportional to 10,145.85, 14,001.22 and 5,669.38

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Solution

The fourth proportional to 10,145.85, 14,001.22 and 5,669.38 is: 7,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.85 : 14,001.22 = 5,669.38 : x
  2. Step 2: Convert to fraction form
    10,145.85/14,001.22 = 5,669.38/x
  3. Step 3: Cross multiply
    10,145.85x = 14,001.22 × 5,669.38
  4. Step 4: Simplify right side
    10,145.85x = 79,378,236.64
  5. Step 5: Solve for x
    x = 79,378,236.64/10,145.85
  6. Step 6: Final answer
    x = 7,823.71

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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.