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Finding the Fourth Proportional to 10,872.63, 16,314.41 and 4,304.34

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Solution

The fourth proportional to 10,872.63, 16,314.41 and 4,304.34 is: 6,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.63 : 16,314.41 = 4,304.34 : x
  2. Step 2: Convert to fraction form
    10,872.63/16,314.41 = 4,304.34/x
  3. Step 3: Cross multiply
    10,872.63x = 16,314.41 × 4,304.34
  4. Step 4: Simplify right side
    10,872.63x = 70,222,778.30
  5. Step 5: Solve for x
    x = 70,222,778.30/10,872.63
  6. Step 6: Final answer
    x = 6,458.67

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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.