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Finding the Fourth Proportional to 10,504.50, 15,751.19 and 3,107.94

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Solution

The fourth proportional to 10,504.50, 15,751.19 and 3,107.94 is: 4,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.50 : 15,751.19 = 3,107.94 : x
  2. Step 2: Convert to fraction form
    10,504.50/15,751.19 = 3,107.94/x
  3. Step 3: Cross multiply
    10,504.50x = 15,751.19 × 3,107.94
  4. Step 4: Simplify right side
    10,504.50x = 48,953,737.91
  5. Step 5: Solve for x
    x = 48,953,737.91/10,504.50
  6. Step 6: Final answer
    x = 4,660.26

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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.