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Finding the Fourth Proportional to 8,086.40, 12,125.55 and 3,698.90

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Solution

The fourth proportional to 8,086.40, 12,125.55 and 3,698.90 is: 5,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.40 : 12,125.55 = 3,698.90 : x
  2. Step 2: Convert to fraction form
    8,086.40/12,125.55 = 3,698.90/x
  3. Step 3: Cross multiply
    8,086.40x = 12,125.55 × 3,698.90
  4. Step 4: Simplify right side
    8,086.40x = 44,851,196.90
  5. Step 5: Solve for x
    x = 44,851,196.90/8,086.40
  6. Step 6: Final answer
    x = 5,546.50

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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.