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Finding the Fourth Proportional to 10,874.34, 16,313.94 and 4,301.19

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Solution

The fourth proportional to 10,874.34, 16,313.94 and 4,301.19 is: 6,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.34 : 16,313.94 = 4,301.19 : x
  2. Step 2: Convert to fraction form
    10,874.34/16,313.94 = 4,301.19/x
  3. Step 3: Cross multiply
    10,874.34x = 16,313.94 × 4,301.19
  4. Step 4: Simplify right side
    10,874.34x = 70,169,355.59
  5. Step 5: Solve for x
    x = 70,169,355.59/10,874.34
  6. Step 6: Final answer
    x = 6,452.75

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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.