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Finding the Fourth Proportional to 10,411.50, 15,617.13 and 2,620.38

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Solution

The fourth proportional to 10,411.50, 15,617.13 and 2,620.38 is: 3,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.50 : 15,617.13 = 2,620.38 : x
  2. Step 2: Convert to fraction form
    10,411.50/15,617.13 = 2,620.38/x
  3. Step 3: Cross multiply
    10,411.50x = 15,617.13 × 2,620.38
  4. Step 4: Simplify right side
    10,411.50x = 40,922,815.11
  5. Step 5: Solve for x
    x = 40,922,815.11/10,411.50
  6. Step 6: Final answer
    x = 3,930.54

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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.