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Finding the Fourth Proportional to 10,928.70, 16,383.06 and 5,002.56

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Solution

The fourth proportional to 10,928.70, 16,383.06 and 5,002.56 is: 7,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.70 : 16,383.06 = 5,002.56 : x
  2. Step 2: Convert to fraction form
    10,928.70/16,383.06 = 5,002.56/x
  3. Step 3: Cross multiply
    10,928.70x = 16,383.06 × 5,002.56
  4. Step 4: Simplify right side
    10,928.70x = 81,957,240.63
  5. Step 5: Solve for x
    x = 81,957,240.63/10,928.70
  6. Step 6: Final answer
    x = 7,499.27

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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.