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Finding the Fourth Proportional to 12,104.64, 18,163.95 and 5,084.10

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Solution

The fourth proportional to 12,104.64, 18,163.95 and 5,084.10 is: 7,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.64 : 18,163.95 = 5,084.10 : x
  2. Step 2: Convert to fraction form
    12,104.64/18,163.95 = 5,084.10/x
  3. Step 3: Cross multiply
    12,104.64x = 18,163.95 × 5,084.10
  4. Step 4: Simplify right side
    12,104.64x = 92,347,319.13
  5. Step 5: Solve for x
    x = 92,347,319.13/12,104.64
  6. Step 6: Final answer
    x = 7,629.08

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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.