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Finding the Fourth Proportional to 5,176.53, 7,716.85 and 5,096.61

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Solution

The fourth proportional to 5,176.53, 7,716.85 and 5,096.61 is: 7,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.53 : 7,716.85 = 5,096.61 : x
  2. Step 2: Convert to fraction form
    5,176.53/7,716.85 = 5,096.61/x
  3. Step 3: Cross multiply
    5,176.53x = 7,716.85 × 5,096.61
  4. Step 4: Simplify right side
    5,176.53x = 39,329,762.14
  5. Step 5: Solve for x
    x = 39,329,762.14/5,176.53
  6. Step 6: Final answer
    x = 7,597.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.