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Finding the Fourth Proportional to 10,735.68, 16,105.68 and 3,810

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Solution

The fourth proportional to 10,735.68, 16,105.68 and 3,810 is: 5,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.68 : 16,105.68 = 3,810 : x
  2. Step 2: Convert to fraction form
    10,735.68/16,105.68 = 3,810/x
  3. Step 3: Cross multiply
    10,735.68x = 16,105.68 × 3,810
  4. Step 4: Simplify right side
    10,735.68x = 61,362,640.80
  5. Step 5: Solve for x
    x = 61,362,640.80/10,735.68
  6. Step 6: Final answer
    x = 5,715.77

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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.