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Finding the Fourth Proportional to 10,883.40, 16,314.30 and 5,029.80

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Solution

The fourth proportional to 10,883.40, 16,314.30 and 5,029.80 is: 7,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.40 : 16,314.30 = 5,029.80 : x
  2. Step 2: Convert to fraction form
    10,883.40/16,314.30 = 5,029.80/x
  3. Step 3: Cross multiply
    10,883.40x = 16,314.30 × 5,029.80
  4. Step 4: Simplify right side
    10,883.40x = 82,057,666.14
  5. Step 5: Solve for x
    x = 82,057,666.14/10,883.40
  6. Step 6: Final answer
    x = 7,539.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.