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Finding the Fourth Proportional to 8,761.14, 13,146.72 and 3,213.75

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Solution

The fourth proportional to 8,761.14, 13,146.72 and 3,213.75 is: 4,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.14 : 13,146.72 = 3,213.75 : x
  2. Step 2: Convert to fraction form
    8,761.14/13,146.72 = 3,213.75/x
  3. Step 3: Cross multiply
    8,761.14x = 13,146.72 × 3,213.75
  4. Step 4: Simplify right side
    8,761.14x = 42,250,271.40
  5. Step 5: Solve for x
    x = 42,250,271.40/8,761.14
  6. Step 6: Final answer
    x = 4,822.46

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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.