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Finding the Fourth Proportional to 10,801.87, 16,203.15 and 3,406.40

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Solution

The fourth proportional to 10,801.87, 16,203.15 and 3,406.40 is: 5,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.87 : 16,203.15 = 3,406.40 : x
  2. Step 2: Convert to fraction form
    10,801.87/16,203.15 = 3,406.40/x
  3. Step 3: Cross multiply
    10,801.87x = 16,203.15 × 3,406.40
  4. Step 4: Simplify right side
    10,801.87x = 55,194,329.14
  5. Step 5: Solve for x
    x = 55,194,329.14/10,801.87
  6. Step 6: Final answer
    x = 5,109.70

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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.