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Finding the Fourth Proportional to 8,373, 11,554.74 and 4,647

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Solution

The fourth proportional to 8,373, 11,554.74 and 4,647 is: 6,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,373 : 11,554.74 = 4,647 : x
  2. Step 2: Convert to fraction form
    8,373/11,554.74 = 4,647/x
  3. Step 3: Cross multiply
    8,373x = 11,554.74 × 4,647
  4. Step 4: Simplify right side
    8,373x = 53,694,876.78
  5. Step 5: Solve for x
    x = 53,694,876.78/8,373
  6. Step 6: Final answer
    x = 6,412.86

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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.