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Finding the Fourth Proportional to 10,815.12, 16,223.59 and 3,419.42

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Solution

The fourth proportional to 10,815.12, 16,223.59 and 3,419.42 is: 5,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.12 : 16,223.59 = 3,419.42 : x
  2. Step 2: Convert to fraction form
    10,815.12/16,223.59 = 3,419.42/x
  3. Step 3: Cross multiply
    10,815.12x = 16,223.59 × 3,419.42
  4. Step 4: Simplify right side
    10,815.12x = 55,475,191.27
  5. Step 5: Solve for x
    x = 55,475,191.27/10,815.12
  6. Step 6: Final answer
    x = 5,129.41

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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.