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Finding the Fourth Proportional to 7,709.75, 10,639.46 and 4,172.99

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Solution

The fourth proportional to 7,709.75, 10,639.46 and 4,172.99 is: 5,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.75 : 10,639.46 = 4,172.99 : x
  2. Step 2: Convert to fraction form
    7,709.75/10,639.46 = 4,172.99/x
  3. Step 3: Cross multiply
    7,709.75x = 10,639.46 × 4,172.99
  4. Step 4: Simplify right side
    7,709.75x = 44,398,339.32
  5. Step 5: Solve for x
    x = 44,398,339.32/7,709.75
  6. Step 6: Final answer
    x = 5,758.73

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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.