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Finding the Fourth Proportional to 7,867, 11,800.50 and 3,250.12

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Solution

The fourth proportional to 7,867, 11,800.50 and 3,250.12 is: 4,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867 : 11,800.50 = 3,250.12 : x
  2. Step 2: Convert to fraction form
    7,867/11,800.50 = 3,250.12/x
  3. Step 3: Cross multiply
    7,867x = 11,800.50 × 3,250.12
  4. Step 4: Simplify right side
    7,867x = 38,353,041.06
  5. Step 5: Solve for x
    x = 38,353,041.06/7,867
  6. Step 6: Final answer
    x = 4,875.18

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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.