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Finding the Fourth Proportional to 6,937.75, 10,409.06 and 5,171.95

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Solution

The fourth proportional to 6,937.75, 10,409.06 and 5,171.95 is: 7,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.75 : 10,409.06 = 5,171.95 : x
  2. Step 2: Convert to fraction form
    6,937.75/10,409.06 = 5,171.95/x
  3. Step 3: Cross multiply
    6,937.75x = 10,409.06 × 5,171.95
  4. Step 4: Simplify right side
    6,937.75x = 53,835,137.87
  5. Step 5: Solve for x
    x = 53,835,137.87/6,937.75
  6. Step 6: Final answer
    x = 7,759.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.