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Finding the Fourth Proportional to 7,710.75, 10,640.84 and 4,173.99

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Solution

The fourth proportional to 7,710.75, 10,640.84 and 4,173.99 is: 5,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.75 : 10,640.84 = 4,173.99 : x
  2. Step 2: Convert to fraction form
    7,710.75/10,640.84 = 4,173.99/x
  3. Step 3: Cross multiply
    7,710.75x = 10,640.84 × 4,173.99
  4. Step 4: Simplify right side
    7,710.75x = 44,414,759.75
  5. Step 5: Solve for x
    x = 44,414,759.75/7,710.75
  6. Step 6: Final answer
    x = 5,760.11

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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.