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Finding the Fourth Proportional to 7,858.38, 10,844.63 and 4,321.65

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Solution

The fourth proportional to 7,858.38, 10,844.63 and 4,321.65 is: 5,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.38 : 10,844.63 = 4,321.65 : x
  2. Step 2: Convert to fraction form
    7,858.38/10,844.63 = 4,321.65/x
  3. Step 3: Cross multiply
    7,858.38x = 10,844.63 × 4,321.65
  4. Step 4: Simplify right side
    7,858.38x = 46,866,673.63
  5. Step 5: Solve for x
    x = 46,866,673.63/7,858.38
  6. Step 6: Final answer
    x = 5,963.91

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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.