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Finding the Fourth Proportional to 7,013.41, 10,510.09 and 5,149.90

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Solution

The fourth proportional to 7,013.41, 10,510.09 and 5,149.90 is: 7,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.41 : 10,510.09 = 5,149.90 : x
  2. Step 2: Convert to fraction form
    7,013.41/10,510.09 = 5,149.90/x
  3. Step 3: Cross multiply
    7,013.41x = 10,510.09 × 5,149.90
  4. Step 4: Simplify right side
    7,013.41x = 54,125,912.75
  5. Step 5: Solve for x
    x = 54,125,912.75/7,013.41
  6. Step 6: Final answer
    x = 7,717.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.