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Finding the Fourth Proportional to 7,949.54, 10,971.05 and 4,592.50

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Solution

The fourth proportional to 7,949.54, 10,971.05 and 4,592.50 is: 6,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.54 : 10,971.05 = 4,592.50 : x
  2. Step 2: Convert to fraction form
    7,949.54/10,971.05 = 4,592.50/x
  3. Step 3: Cross multiply
    7,949.54x = 10,971.05 × 4,592.50
  4. Step 4: Simplify right side
    7,949.54x = 50,384,496.73
  5. Step 5: Solve for x
    x = 50,384,496.73/7,949.54
  6. Step 6: Final answer
    x = 6,338.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.