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Finding the Fourth Proportional to 8,072.93, 12,113.04 and 4,121.75

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Solution

The fourth proportional to 8,072.93, 12,113.04 and 4,121.75 is: 6,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.93 : 12,113.04 = 4,121.75 : x
  2. Step 2: Convert to fraction form
    8,072.93/12,113.04 = 4,121.75/x
  3. Step 3: Cross multiply
    8,072.93x = 12,113.04 × 4,121.75
  4. Step 4: Simplify right side
    8,072.93x = 49,926,968.36
  5. Step 5: Solve for x
    x = 49,926,968.36/8,072.93
  6. Step 6: Final answer
    x = 6,184.49

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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.