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Finding the Fourth Proportional to 8,072.50, 12,114.25 and 2,807.45

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Solution

The fourth proportional to 8,072.50, 12,114.25 and 2,807.45 is: 4,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.50 : 12,114.25 = 2,807.45 : x
  2. Step 2: Convert to fraction form
    8,072.50/12,114.25 = 2,807.45/x
  3. Step 3: Cross multiply
    8,072.50x = 12,114.25 × 2,807.45
  4. Step 4: Simplify right side
    8,072.50x = 34,010,197.79
  5. Step 5: Solve for x
    x = 34,010,197.79/8,072.50
  6. Step 6: Final answer
    x = 4,213.10

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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.