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Finding the Fourth Proportional to 8,735.28, 13,103.76 and 2,892

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Solution

The fourth proportional to 8,735.28, 13,103.76 and 2,892 is: 4,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.28 : 13,103.76 = 2,892 : x
  2. Step 2: Convert to fraction form
    8,735.28/13,103.76 = 2,892/x
  3. Step 3: Cross multiply
    8,735.28x = 13,103.76 × 2,892
  4. Step 4: Simplify right side
    8,735.28x = 37,896,073.92
  5. Step 5: Solve for x
    x = 37,896,073.92/8,735.28
  6. Step 6: Final answer
    x = 4,338.28

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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.