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Finding the Fourth Proportional to 8,175.34, 12,264.16 and 3,245.50

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Solution

The fourth proportional to 8,175.34, 12,264.16 and 3,245.50 is: 4,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.34 : 12,264.16 = 3,245.50 : x
  2. Step 2: Convert to fraction form
    8,175.34/12,264.16 = 3,245.50/x
  3. Step 3: Cross multiply
    8,175.34x = 12,264.16 × 3,245.50
  4. Step 4: Simplify right side
    8,175.34x = 39,803,331.28
  5. Step 5: Solve for x
    x = 39,803,331.28/8,175.34
  6. Step 6: Final answer
    x = 4,868.71

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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.