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Finding the Fourth Proportional to 7,617.75, 10,516.43 and 5,255.79

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Solution

The fourth proportional to 7,617.75, 10,516.43 and 5,255.79 is: 7,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.75 : 10,516.43 = 5,255.79 : x
  2. Step 2: Convert to fraction form
    7,617.75/10,516.43 = 5,255.79/x
  3. Step 3: Cross multiply
    7,617.75x = 10,516.43 × 5,255.79
  4. Step 4: Simplify right side
    7,617.75x = 55,272,121.35
  5. Step 5: Solve for x
    x = 55,272,121.35/7,617.75
  6. Step 6: Final answer
    x = 7,255.70

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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.