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Finding the Fourth Proportional to 10,375.29, 14,300.83 and 7,351.43

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Solution

The fourth proportional to 10,375.29, 14,300.83 and 7,351.43 is: 10,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.29 : 14,300.83 = 7,351.43 : x
  2. Step 2: Convert to fraction form
    10,375.29/14,300.83 = 7,351.43/x
  3. Step 3: Cross multiply
    10,375.29x = 14,300.83 × 7,351.43
  4. Step 4: Simplify right side
    10,375.29x = 105,131,467.70
  5. Step 5: Solve for x
    x = 105,131,467.70/10,375.29
  6. Step 6: Final answer
    x = 10,132.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.