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Finding the Fourth Proportional to 10,450.59, 15,677.39 and 3,431.16

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Solution

The fourth proportional to 10,450.59, 15,677.39 and 3,431.16 is: 5,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.59 : 15,677.39 = 3,431.16 : x
  2. Step 2: Convert to fraction form
    10,450.59/15,677.39 = 3,431.16/x
  3. Step 3: Cross multiply
    10,450.59x = 15,677.39 × 3,431.16
  4. Step 4: Simplify right side
    10,450.59x = 53,791,616.32
  5. Step 5: Solve for x
    x = 53,791,616.32/10,450.59
  6. Step 6: Final answer
    x = 5,147.23

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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.