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Finding the Fourth Proportional to 7,846.73, 10,828.55 and 4,310.02

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Solution

The fourth proportional to 7,846.73, 10,828.55 and 4,310.02 is: 5,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.73 : 10,828.55 = 4,310.02 : x
  2. Step 2: Convert to fraction form
    7,846.73/10,828.55 = 4,310.02/x
  3. Step 3: Cross multiply
    7,846.73x = 10,828.55 × 4,310.02
  4. Step 4: Simplify right side
    7,846.73x = 46,671,191.38
  5. Step 5: Solve for x
    x = 46,671,191.38/7,846.73
  6. Step 6: Final answer
    x = 5,947.86

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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.