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Finding the Fourth Proportional to 10,872.30, 16,308.48 and 4,631.13

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Solution

The fourth proportional to 10,872.30, 16,308.48 and 4,631.13 is: 6,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.30 : 16,308.48 = 4,631.13 : x
  2. Step 2: Convert to fraction form
    10,872.30/16,308.48 = 4,631.13/x
  3. Step 3: Cross multiply
    10,872.30x = 16,308.48 × 4,631.13
  4. Step 4: Simplify right side
    10,872.30x = 75,526,690.98
  5. Step 5: Solve for x
    x = 75,526,690.98/10,872.30
  6. Step 6: Final answer
    x = 6,946.71

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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.