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Finding the Fourth Proportional to 10,735.49, 16,101.19 and 3,340.04

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Solution

The fourth proportional to 10,735.49, 16,101.19 and 3,340.04 is: 5,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.49 : 16,101.19 = 3,340.04 : x
  2. Step 2: Convert to fraction form
    10,735.49/16,101.19 = 3,340.04/x
  3. Step 3: Cross multiply
    10,735.49x = 16,101.19 × 3,340.04
  4. Step 4: Simplify right side
    10,735.49x = 53,778,614.10
  5. Step 5: Solve for x
    x = 53,778,614.10/10,735.49
  6. Step 6: Final answer
    x = 5,009.42

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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.