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Finding the Fourth Proportional to 12,591.36, 18,880.04 and 5,200.83

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Solution

The fourth proportional to 12,591.36, 18,880.04 and 5,200.83 is: 7,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.36 : 18,880.04 = 5,200.83 : x
  2. Step 2: Convert to fraction form
    12,591.36/18,880.04 = 5,200.83/x
  3. Step 3: Cross multiply
    12,591.36x = 18,880.04 × 5,200.83
  4. Step 4: Simplify right side
    12,591.36x = 98,191,891.44
  5. Step 5: Solve for x
    x = 98,191,891.44/12,591.36
  6. Step 6: Final answer
    x = 7,798.35

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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.