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Finding the Fourth Proportional to 10,408.38, 14,350.01 and 7,576.22

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Solution

The fourth proportional to 10,408.38, 14,350.01 and 7,576.22 is: 10,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.38 : 14,350.01 = 7,576.22 : x
  2. Step 2: Convert to fraction form
    10,408.38/14,350.01 = 7,576.22/x
  3. Step 3: Cross multiply
    10,408.38x = 14,350.01 × 7,576.22
  4. Step 4: Simplify right side
    10,408.38x = 108,718,723.13
  5. Step 5: Solve for x
    x = 108,718,723.13/10,408.38
  6. Step 6: Final answer
    x = 10,445.31

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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.