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Finding the Fourth Proportional to 10,319.61, 14,241.23 and 5,843.24

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Solution

The fourth proportional to 10,319.61, 14,241.23 and 5,843.24 is: 8,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.61 : 14,241.23 = 5,843.24 : x
  2. Step 2: Convert to fraction form
    10,319.61/14,241.23 = 5,843.24/x
  3. Step 3: Cross multiply
    10,319.61x = 14,241.23 × 5,843.24
  4. Step 4: Simplify right side
    10,319.61x = 83,214,895.57
  5. Step 5: Solve for x
    x = 83,214,895.57/10,319.61
  6. Step 6: Final answer
    x = 8,063.76

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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.