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Finding the Fourth Proportional to 8,065.58, 12,101.50 and 3,138.68

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Solution

The fourth proportional to 8,065.58, 12,101.50 and 3,138.68 is: 4,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.58 : 12,101.50 = 3,138.68 : x
  2. Step 2: Convert to fraction form
    8,065.58/12,101.50 = 3,138.68/x
  3. Step 3: Cross multiply
    8,065.58x = 12,101.50 × 3,138.68
  4. Step 4: Simplify right side
    8,065.58x = 37,982,736.02
  5. Step 5: Solve for x
    x = 37,982,736.02/8,065.58
  6. Step 6: Final answer
    x = 4,709.24

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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.