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Finding the Fourth Proportional to 10,452.38, 15,678.39 and 4,212.22

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Solution

The fourth proportional to 10,452.38, 15,678.39 and 4,212.22 is: 6,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.38 : 15,678.39 = 4,212.22 : x
  2. Step 2: Convert to fraction form
    10,452.38/15,678.39 = 4,212.22/x
  3. Step 3: Cross multiply
    10,452.38x = 15,678.39 × 4,212.22
  4. Step 4: Simplify right side
    10,452.38x = 66,040,827.93
  5. Step 5: Solve for x
    x = 66,040,827.93/10,452.38
  6. Step 6: Final answer
    x = 6,318.26

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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.