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Finding the Fourth Proportional to 7,829.38, 10,804.50 and 4,292.62

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Solution

The fourth proportional to 7,829.38, 10,804.50 and 4,292.62 is: 5,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.38 : 10,804.50 = 4,292.62 : x
  2. Step 2: Convert to fraction form
    7,829.38/10,804.50 = 4,292.62/x
  3. Step 3: Cross multiply
    7,829.38x = 10,804.50 × 4,292.62
  4. Step 4: Simplify right side
    7,829.38x = 46,379,612.79
  5. Step 5: Solve for x
    x = 46,379,612.79/7,829.38
  6. Step 6: Final answer
    x = 5,923.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.