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Finding the Fourth Proportional to 10,450.77, 15,678.54 and 3,431.38

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Solution

The fourth proportional to 10,450.77, 15,678.54 and 3,431.38 is: 5,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.77 : 15,678.54 = 3,431.38 : x
  2. Step 2: Convert to fraction form
    10,450.77/15,678.54 = 3,431.38/x
  3. Step 3: Cross multiply
    10,450.77x = 15,678.54 × 3,431.38
  4. Step 4: Simplify right side
    10,450.77x = 53,798,933.04
  5. Step 5: Solve for x
    x = 53,798,933.04/10,450.77
  6. Step 6: Final answer
    x = 5,147.85

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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.