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Finding the Fourth Proportional to 10,604.69, 15,906.87 and 2,599.54

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Solution

The fourth proportional to 10,604.69, 15,906.87 and 2,599.54 is: 3,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.69 : 15,906.87 = 2,599.54 : x
  2. Step 2: Convert to fraction form
    10,604.69/15,906.87 = 2,599.54/x
  3. Step 3: Cross multiply
    10,604.69x = 15,906.87 × 2,599.54
  4. Step 4: Simplify right side
    10,604.69x = 41,350,465.31
  5. Step 5: Solve for x
    x = 41,350,465.31/10,604.69
  6. Step 6: Final answer
    x = 3,899.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.