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Finding the Fourth Proportional to 10,674.75, 16,012.13 and 2,883.57

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Solution

The fourth proportional to 10,674.75, 16,012.13 and 2,883.57 is: 4,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.75 : 16,012.13 = 2,883.57 : x
  2. Step 2: Convert to fraction form
    10,674.75/16,012.13 = 2,883.57/x
  3. Step 3: Cross multiply
    10,674.75x = 16,012.13 × 2,883.57
  4. Step 4: Simplify right side
    10,674.75x = 46,172,083.29
  5. Step 5: Solve for x
    x = 46,172,083.29/10,674.75
  6. Step 6: Final answer
    x = 4,325.36

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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.