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Finding the Fourth Proportional to 8,132.94, 12,199.68 and 2,289.38

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Solution

The fourth proportional to 8,132.94, 12,199.68 and 2,289.38 is: 3,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.94 : 12,199.68 = 2,289.38 : x
  2. Step 2: Convert to fraction form
    8,132.94/12,199.68 = 2,289.38/x
  3. Step 3: Cross multiply
    8,132.94x = 12,199.68 × 2,289.38
  4. Step 4: Simplify right side
    8,132.94x = 27,929,642.40
  5. Step 5: Solve for x
    x = 27,929,642.40/8,132.94
  6. Step 6: Final answer
    x = 3,434.14

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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.