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Finding the Fourth Proportional to 8,134.76, 12,202.14 and 2,291.37

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Solution

The fourth proportional to 8,134.76, 12,202.14 and 2,291.37 is: 3,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.76 : 12,202.14 = 2,291.37 : x
  2. Step 2: Convert to fraction form
    8,134.76/12,202.14 = 2,291.37/x
  3. Step 3: Cross multiply
    8,134.76x = 12,202.14 × 2,291.37
  4. Step 4: Simplify right side
    8,134.76x = 27,959,617.53
  5. Step 5: Solve for x
    x = 27,959,617.53/8,134.76
  6. Step 6: Final answer
    x = 3,437.06

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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.