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Finding the Fourth Proportional to 7,592.54, 10,478.92 and 6,331.37

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Solution

The fourth proportional to 7,592.54, 10,478.92 and 6,331.37 is: 8,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.54 : 10,478.92 = 6,331.37 : x
  2. Step 2: Convert to fraction form
    7,592.54/10,478.92 = 6,331.37/x
  3. Step 3: Cross multiply
    7,592.54x = 10,478.92 × 6,331.37
  4. Step 4: Simplify right side
    7,592.54x = 66,345,863.37
  5. Step 5: Solve for x
    x = 66,345,863.37/7,592.54
  6. Step 6: Final answer
    x = 8,738.30

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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.