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Finding the Fourth Proportional to 8,138.36, 12,208.01 and 3,140.75

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Solution

The fourth proportional to 8,138.36, 12,208.01 and 3,140.75 is: 4,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.36 : 12,208.01 = 3,140.75 : x
  2. Step 2: Convert to fraction form
    8,138.36/12,208.01 = 3,140.75/x
  3. Step 3: Cross multiply
    8,138.36x = 12,208.01 × 3,140.75
  4. Step 4: Simplify right side
    8,138.36x = 38,342,360.46
  5. Step 5: Solve for x
    x = 38,342,360.46/8,138.36
  6. Step 6: Final answer
    x = 4,711.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.