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Finding the Fourth Proportional to 6,780.96, 10,174.50 and 4,315.14

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Solution

The fourth proportional to 6,780.96, 10,174.50 and 4,315.14 is: 6,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.96 : 10,174.50 = 4,315.14 : x
  2. Step 2: Convert to fraction form
    6,780.96/10,174.50 = 4,315.14/x
  3. Step 3: Cross multiply
    6,780.96x = 10,174.50 × 4,315.14
  4. Step 4: Simplify right side
    6,780.96x = 43,904,391.93
  5. Step 5: Solve for x
    x = 43,904,391.93/6,780.96
  6. Step 6: Final answer
    x = 6,474.66

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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.