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Finding the Fourth Proportional to 7,822.38, 10,794.87 and 4,285.59

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Solution

The fourth proportional to 7,822.38, 10,794.87 and 4,285.59 is: 5,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.38 : 10,794.87 = 4,285.59 : x
  2. Step 2: Convert to fraction form
    7,822.38/10,794.87 = 4,285.59/x
  3. Step 3: Cross multiply
    7,822.38x = 10,794.87 × 4,285.59
  4. Step 4: Simplify right side
    7,822.38x = 46,262,386.92
  5. Step 5: Solve for x
    x = 46,262,386.92/7,822.38
  6. Step 6: Final answer
    x = 5,914.11

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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.