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Finding the Fourth Proportional to 7,008.50, 10,512.75 and 2,850.77

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Solution

The fourth proportional to 7,008.50, 10,512.75 and 2,850.77 is: 4,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.50 : 10,512.75 = 2,850.77 : x
  2. Step 2: Convert to fraction form
    7,008.50/10,512.75 = 2,850.77/x
  3. Step 3: Cross multiply
    7,008.50x = 10,512.75 × 2,850.77
  4. Step 4: Simplify right side
    7,008.50x = 29,969,432.32
  5. Step 5: Solve for x
    x = 29,969,432.32/7,008.50
  6. Step 6: Final answer
    x = 4,276.16

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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.