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Finding the Fourth Proportional to 10,873.65, 16,310.48 and 3,082.53

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Solution

The fourth proportional to 10,873.65, 16,310.48 and 3,082.53 is: 4,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.65 : 16,310.48 = 3,082.53 : x
  2. Step 2: Convert to fraction form
    10,873.65/16,310.48 = 3,082.53/x
  3. Step 3: Cross multiply
    10,873.65x = 16,310.48 × 3,082.53
  4. Step 4: Simplify right side
    10,873.65x = 50,277,528.50
  5. Step 5: Solve for x
    x = 50,277,528.50/10,873.65
  6. Step 6: Final answer
    x = 4,623.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.