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Finding the Fourth Proportional to 10,375.29, 14,317.46 and 5,659.57

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Solution

The fourth proportional to 10,375.29, 14,317.46 and 5,659.57 is: 7,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.29 : 14,317.46 = 5,659.57 : x
  2. Step 2: Convert to fraction form
    10,375.29/14,317.46 = 5,659.57/x
  3. Step 3: Cross multiply
    10,375.29x = 14,317.46 × 5,659.57
  4. Step 4: Simplify right side
    10,375.29x = 81,030,667.09
  5. Step 5: Solve for x
    x = 81,030,667.09/10,375.29
  6. Step 6: Final answer
    x = 7,809.97

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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.