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Finding the Fourth Proportional to 10,815.67, 16,222.14 and 3,419.53

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Solution

The fourth proportional to 10,815.67, 16,222.14 and 3,419.53 is: 5,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.67 : 16,222.14 = 3,419.53 : x
  2. Step 2: Convert to fraction form
    10,815.67/16,222.14 = 3,419.53/x
  3. Step 3: Cross multiply
    10,815.67x = 16,222.14 × 3,419.53
  4. Step 4: Simplify right side
    10,815.67x = 55,472,094.39
  5. Step 5: Solve for x
    x = 55,472,094.39/10,815.67
  6. Step 6: Final answer
    x = 5,128.86

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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.