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Finding the Fourth Proportional to 8,130.90, 12,198.65 and 2,287.56

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Solution

The fourth proportional to 8,130.90, 12,198.65 and 2,287.56 is: 3,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.90 : 12,198.65 = 2,287.56 : x
  2. Step 2: Convert to fraction form
    8,130.90/12,198.65 = 2,287.56/x
  3. Step 3: Cross multiply
    8,130.90x = 12,198.65 × 2,287.56
  4. Step 4: Simplify right side
    8,130.90x = 27,905,132.36
  5. Step 5: Solve for x
    x = 27,905,132.36/8,130.90
  6. Step 6: Final answer
    x = 3,431.99

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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.