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Finding the Fourth Proportional to 10,928.60, 16,383.17 and 5,082.02

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Solution

The fourth proportional to 10,928.60, 16,383.17 and 5,082.02 is: 7,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.60 : 16,383.17 = 5,082.02 : x
  2. Step 2: Convert to fraction form
    10,928.60/16,383.17 = 5,082.02/x
  3. Step 3: Cross multiply
    10,928.60x = 16,383.17 × 5,082.02
  4. Step 4: Simplify right side
    10,928.60x = 83,259,490.28
  5. Step 5: Solve for x
    x = 83,259,490.28/10,928.60
  6. Step 6: Final answer
    x = 7,618.50

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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.