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Finding the Fourth Proportional to 8,130.50, 12,196.84 and 3,514.58

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Solution

The fourth proportional to 8,130.50, 12,196.84 and 3,514.58 is: 5,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.50 : 12,196.84 = 3,514.58 : x
  2. Step 2: Convert to fraction form
    8,130.50/12,196.84 = 3,514.58/x
  3. Step 3: Cross multiply
    8,130.50x = 12,196.84 × 3,514.58
  4. Step 4: Simplify right side
    8,130.50x = 42,866,769.93
  5. Step 5: Solve for x
    x = 42,866,769.93/8,130.50
  6. Step 6: Final answer
    x = 5,272.34

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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.