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Finding the Fourth Proportional to 10,674.13, 16,012.05 and 2,882.83

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Solution

The fourth proportional to 10,674.13, 16,012.05 and 2,882.83 is: 4,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.13 : 16,012.05 = 2,882.83 : x
  2. Step 2: Convert to fraction form
    10,674.13/16,012.05 = 2,882.83/x
  3. Step 3: Cross multiply
    10,674.13x = 16,012.05 × 2,882.83
  4. Step 4: Simplify right side
    10,674.13x = 46,160,018.10
  5. Step 5: Solve for x
    x = 46,160,018.10/10,674.13
  6. Step 6: Final answer
    x = 4,324.48

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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.