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Finding the Fourth Proportional to 8,106.94, 12,141.95 and 5,643.60

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Solution

The fourth proportional to 8,106.94, 12,141.95 and 5,643.60 is: 8,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.94 : 12,141.95 = 5,643.60 : x
  2. Step 2: Convert to fraction form
    8,106.94/12,141.95 = 5,643.60/x
  3. Step 3: Cross multiply
    8,106.94x = 12,141.95 × 5,643.60
  4. Step 4: Simplify right side
    8,106.94x = 68,524,301.16
  5. Step 5: Solve for x
    x = 68,524,301.16/8,106.94
  6. Step 6: Final answer
    x = 8,452.55

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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.